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Finding the Fourth Proportional to 1,028.16, 1,542.24 and 637.92

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Solution

The fourth proportional to 1,028.16, 1,542.24 and 637.92 is: 956.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.16 : 1,542.24 = 637.92 : x
  2. Step 2: Convert to fraction form
    1,028.16/1,542.24 = 637.92/x
  3. Step 3: Cross multiply
    1,028.16x = 1,542.24 × 637.92
  4. Step 4: Simplify right side
    1,028.16x = 983,825.74
  5. Step 5: Solve for x
    x = 983,825.74/1,028.16
  6. Step 6: Final answer
    x = 956.88

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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.