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Finding the Fourth Proportional to 1,024.25, 1,537.01 and 375.04

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Solution

The fourth proportional to 1,024.25, 1,537.01 and 375.04 is: 562.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.25 : 1,537.01 = 375.04 : x
  2. Step 2: Convert to fraction form
    1,024.25/1,537.01 = 375.04/x
  3. Step 3: Cross multiply
    1,024.25x = 1,537.01 × 375.04
  4. Step 4: Simplify right side
    1,024.25x = 576,440.23
  5. Step 5: Solve for x
    x = 576,440.23/1,024.25
  6. Step 6: Final answer
    x = 562.79

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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.