Home / 1,037.85-1,432.27-595.84

Finding the Fourth Proportional to 1,037.85, 1,432.27 and 595.84

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Solution

The fourth proportional to 1,037.85, 1,432.27 and 595.84 is: 822.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.85 : 1,432.27 = 595.84 : x
  2. Step 2: Convert to fraction form
    1,037.85/1,432.27 = 595.84/x
  3. Step 3: Cross multiply
    1,037.85x = 1,432.27 × 595.84
  4. Step 4: Simplify right side
    1,037.85x = 853,403.76
  5. Step 5: Solve for x
    x = 853,403.76/1,037.85
  6. Step 6: Final answer
    x = 822.28

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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.