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Finding the Fourth Proportional to 1,037.97, 1,432.48 and 596.01

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Solution

The fourth proportional to 1,037.97, 1,432.48 and 596.01 is: 822.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.97 : 1,432.48 = 596.01 : x
  2. Step 2: Convert to fraction form
    1,037.97/1,432.48 = 596.01/x
  3. Step 3: Cross multiply
    1,037.97x = 1,432.48 × 596.01
  4. Step 4: Simplify right side
    1,037.97x = 853,772.40
  5. Step 5: Solve for x
    x = 853,772.40/1,037.97
  6. Step 6: Final answer
    x = 822.54

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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.