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Finding the Fourth Proportional to 1,434.48, 2,152.20 and 460.72

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Solution

The fourth proportional to 1,434.48, 2,152.20 and 460.72 is: 691.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.48 : 2,152.20 = 460.72 : x
  2. Step 2: Convert to fraction form
    1,434.48/2,152.20 = 460.72/x
  3. Step 3: Cross multiply
    1,434.48x = 2,152.20 × 460.72
  4. Step 4: Simplify right side
    1,434.48x = 991,561.58
  5. Step 5: Solve for x
    x = 991,561.58/1,434.48
  6. Step 6: Final answer
    x = 691.23

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