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Finding the Fourth Proportional to 1,037.90, 1,432.43 and 595.79

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Solution

The fourth proportional to 1,037.90, 1,432.43 and 595.79 is: 822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.90 : 1,432.43 = 595.79 : x
  2. Step 2: Convert to fraction form
    1,037.90/1,432.43 = 595.79/x
  3. Step 3: Cross multiply
    1,037.90x = 1,432.43 × 595.79
  4. Step 4: Simplify right side
    1,037.90x = 853,434.33
  5. Step 5: Solve for x
    x = 853,434.33/1,037.90
  6. Step 6: Final answer
    x = 822.27

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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.