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Finding the Fourth Proportional to 1,010.40, 1,515.03 and 424.77

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Solution

The fourth proportional to 1,010.40, 1,515.03 and 424.77 is: 636.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.40 : 1,515.03 = 424.77 : x
  2. Step 2: Convert to fraction form
    1,010.40/1,515.03 = 424.77/x
  3. Step 3: Cross multiply
    1,010.40x = 1,515.03 × 424.77
  4. Step 4: Simplify right side
    1,010.40x = 643,539.29
  5. Step 5: Solve for x
    x = 643,539.29/1,010.40
  6. Step 6: Final answer
    x = 636.92

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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.