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Finding the Fourth Proportional to 1,024.17, 1,412.96 and 575.94

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Solution

The fourth proportional to 1,024.17, 1,412.96 and 575.94 is: 794.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.17 : 1,412.96 = 575.94 : x
  2. Step 2: Convert to fraction form
    1,024.17/1,412.96 = 575.94/x
  3. Step 3: Cross multiply
    1,024.17x = 1,412.96 × 575.94
  4. Step 4: Simplify right side
    1,024.17x = 813,773.77
  5. Step 5: Solve for x
    x = 813,773.77/1,024.17
  6. Step 6: Final answer
    x = 794.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.