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Finding the Fourth Proportional to 1,030.35, 1,422.14 and 632.14

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Solution

The fourth proportional to 1,030.35, 1,422.14 and 632.14 is: 872.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.35 : 1,422.14 = 632.14 : x
  2. Step 2: Convert to fraction form
    1,030.35/1,422.14 = 632.14/x
  3. Step 3: Cross multiply
    1,030.35x = 1,422.14 × 632.14
  4. Step 4: Simplify right side
    1,030.35x = 898,991.58
  5. Step 5: Solve for x
    x = 898,991.58/1,030.35
  6. Step 6: Final answer
    x = 872.51

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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.