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Finding the Fourth Proportional to 1,037.84, 1,432.22 and 595.76

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Solution

The fourth proportional to 1,037.84, 1,432.22 and 595.76 is: 822.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.84 : 1,432.22 = 595.76 : x
  2. Step 2: Convert to fraction form
    1,037.84/1,432.22 = 595.76/x
  3. Step 3: Cross multiply
    1,037.84x = 1,432.22 × 595.76
  4. Step 4: Simplify right side
    1,037.84x = 853,249.25
  5. Step 5: Solve for x
    x = 853,249.25/1,037.84
  6. Step 6: Final answer
    x = 822.14

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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.