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Finding the Fourth Proportional to 1,412.76, 1,948.14 and 946.20

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Solution

The fourth proportional to 1,412.76, 1,948.14 and 946.20 is: 1,304.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.76 : 1,948.14 = 946.20 : x
  2. Step 2: Convert to fraction form
    1,412.76/1,948.14 = 946.20/x
  3. Step 3: Cross multiply
    1,412.76x = 1,948.14 × 946.20
  4. Step 4: Simplify right side
    1,412.76x = 1,843,330.07
  5. Step 5: Solve for x
    x = 1,843,330.07/1,412.76
  6. Step 6: Final answer
    x = 1,304.77

Related Problems

Find fourth proportional to 706.38, 974.07 and 473.10
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.