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Finding the Fourth Proportional to 1,434.47, 2,151.72 and 460.58

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Solution

The fourth proportional to 1,434.47, 2,151.72 and 460.58 is: 690.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.47 : 2,151.72 = 460.58 : x
  2. Step 2: Convert to fraction form
    1,434.47/2,151.72 = 460.58/x
  3. Step 3: Cross multiply
    1,434.47x = 2,151.72 × 460.58
  4. Step 4: Simplify right side
    1,434.47x = 991,028.44
  5. Step 5: Solve for x
    x = 991,028.44/1,434.47
  6. Step 6: Final answer
    x = 690.87

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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.