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Finding the Fourth Proportional to 1,434.40, 2,151.54 and 460.72

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Solution

The fourth proportional to 1,434.40, 2,151.54 and 460.72 is: 691.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.40 : 2,151.54 = 460.72 : x
  2. Step 2: Convert to fraction form
    1,434.40/2,151.54 = 460.72/x
  3. Step 3: Cross multiply
    1,434.40x = 2,151.54 × 460.72
  4. Step 4: Simplify right side
    1,434.40x = 991,257.51
  5. Step 5: Solve for x
    x = 991,257.51/1,434.40
  6. Step 6: Final answer
    x = 691.06

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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.