Home / 1,037.80-1,432.23-595.75

Finding the Fourth Proportional to 1,037.80, 1,432.23 and 595.75

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Solution

The fourth proportional to 1,037.80, 1,432.23 and 595.75 is: 822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.80 : 1,432.23 = 595.75 : x
  2. Step 2: Convert to fraction form
    1,037.80/1,432.23 = 595.75/x
  3. Step 3: Cross multiply
    1,037.80x = 1,432.23 × 595.75
  4. Step 4: Simplify right side
    1,037.80x = 853,251.02
  5. Step 5: Solve for x
    x = 853,251.02/1,037.80
  6. Step 6: Final answer
    x = 822.17

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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.