Home / 1,165.30-1,747.92-471.95

Finding the Fourth Proportional to 1,165.30, 1,747.92 and 471.95

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Solution

The fourth proportional to 1,165.30, 1,747.92 and 471.95 is: 707.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.30 : 1,747.92 = 471.95 : x
  2. Step 2: Convert to fraction form
    1,165.30/1,747.92 = 471.95/x
  3. Step 3: Cross multiply
    1,165.30x = 1,747.92 × 471.95
  4. Step 4: Simplify right side
    1,165.30x = 824,932.03
  5. Step 5: Solve for x
    x = 824,932.03/1,165.30
  6. Step 6: Final answer
    x = 707.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.