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Finding the Fourth Proportional to 1,037.76, 1,432.16 and 595.72

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Solution

The fourth proportional to 1,037.76, 1,432.16 and 595.72 is: 822.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.76 : 1,432.16 = 595.72 : x
  2. Step 2: Convert to fraction form
    1,037.76/1,432.16 = 595.72/x
  3. Step 3: Cross multiply
    1,037.76x = 1,432.16 × 595.72
  4. Step 4: Simplify right side
    1,037.76x = 853,166.36
  5. Step 5: Solve for x
    x = 853,166.36/1,037.76
  6. Step 6: Final answer
    x = 822.12

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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.