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Finding the Fourth Proportional to 1,010.28, 1,513.29 and 462.92

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Solution

The fourth proportional to 1,010.28, 1,513.29 and 462.92 is: 693.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.28 : 1,513.29 = 462.92 : x
  2. Step 2: Convert to fraction form
    1,010.28/1,513.29 = 462.92/x
  3. Step 3: Cross multiply
    1,010.28x = 1,513.29 × 462.92
  4. Step 4: Simplify right side
    1,010.28x = 700,532.28
  5. Step 5: Solve for x
    x = 700,532.28/1,010.28
  6. Step 6: Final answer
    x = 693.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.