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Finding the Fourth Proportional to 1,430.76, 1,974.82 and 809.96

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Solution

The fourth proportional to 1,430.76, 1,974.82 and 809.96 is: 1,117.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.76 : 1,974.82 = 809.96 : x
  2. Step 2: Convert to fraction form
    1,430.76/1,974.82 = 809.96/x
  3. Step 3: Cross multiply
    1,430.76x = 1,974.82 × 809.96
  4. Step 4: Simplify right side
    1,430.76x = 1,599,525.21
  5. Step 5: Solve for x
    x = 1,599,525.21/1,430.76
  6. Step 6: Final answer
    x = 1,117.95

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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.