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Finding the Fourth Proportional to 1,037.93, 1,432.34 and 595.82

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Solution

The fourth proportional to 1,037.93, 1,432.34 and 595.82 is: 822.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.93 : 1,432.34 = 595.82 : x
  2. Step 2: Convert to fraction form
    1,037.93/1,432.34 = 595.82/x
  3. Step 3: Cross multiply
    1,037.93x = 1,432.34 × 595.82
  4. Step 4: Simplify right side
    1,037.93x = 853,406.68
  5. Step 5: Solve for x
    x = 853,406.68/1,037.93
  6. Step 6: Final answer
    x = 822.22

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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.