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Finding the Fourth Proportional to 1,037.96, 1,432.48 and 595.92

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Solution

The fourth proportional to 1,037.96, 1,432.48 and 595.92 is: 822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.96 : 1,432.48 = 595.92 : x
  2. Step 2: Convert to fraction form
    1,037.96/1,432.48 = 595.92/x
  3. Step 3: Cross multiply
    1,037.96x = 1,432.48 × 595.92
  4. Step 4: Simplify right side
    1,037.96x = 853,643.48
  5. Step 5: Solve for x
    x = 853,643.48/1,037.96
  6. Step 6: Final answer
    x = 822.42

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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.