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Finding the Fourth Proportional to 1,024.68, 1,537 and 613.93

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Solution

The fourth proportional to 1,024.68, 1,537 and 613.93 is: 920.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.68 : 1,537 = 613.93 : x
  2. Step 2: Convert to fraction form
    1,024.68/1,537 = 613.93/x
  3. Step 3: Cross multiply
    1,024.68x = 1,537 × 613.93
  4. Step 4: Simplify right side
    1,024.68x = 943,610.41
  5. Step 5: Solve for x
    x = 943,610.41/1,024.68
  6. Step 6: Final answer
    x = 920.88

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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.