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Finding the Fourth Proportional to 1,024.92, 1,537.23 and 477.27

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Solution

The fourth proportional to 1,024.92, 1,537.23 and 477.27 is: 715.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.92 : 1,537.23 = 477.27 : x
  2. Step 2: Convert to fraction form
    1,024.92/1,537.23 = 477.27/x
  3. Step 3: Cross multiply
    1,024.92x = 1,537.23 × 477.27
  4. Step 4: Simplify right side
    1,024.92x = 733,673.76
  5. Step 5: Solve for x
    x = 733,673.76/1,024.92
  6. Step 6: Final answer
    x = 715.84

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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.