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Finding the Fourth Proportional to 1,024.55, 1,536.38 and 375.29

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Solution

The fourth proportional to 1,024.55, 1,536.38 and 375.29 is: 562.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.55 : 1,536.38 = 375.29 : x
  2. Step 2: Convert to fraction form
    1,024.55/1,536.38 = 375.29/x
  3. Step 3: Cross multiply
    1,024.55x = 1,536.38 × 375.29
  4. Step 4: Simplify right side
    1,024.55x = 576,586.17
  5. Step 5: Solve for x
    x = 576,586.17/1,024.55
  6. Step 6: Final answer
    x = 562.77

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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.