Home / 1,589.08-2,384.13-767.45

Finding the Fourth Proportional to 1,589.08, 2,384.13 and 767.45

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Solution

The fourth proportional to 1,589.08, 2,384.13 and 767.45 is: 1,151.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.08 : 2,384.13 = 767.45 : x
  2. Step 2: Convert to fraction form
    1,589.08/2,384.13 = 767.45/x
  3. Step 3: Cross multiply
    1,589.08x = 2,384.13 × 767.45
  4. Step 4: Simplify right side
    1,589.08x = 1,829,691.53
  5. Step 5: Solve for x
    x = 1,829,691.53/1,589.08
  6. Step 6: Final answer
    x = 1,151.42

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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.