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Finding the Fourth Proportional to 1,434.96, 2,152.76 and 461.14

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Solution

The fourth proportional to 1,434.96, 2,152.76 and 461.14 is: 691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.96 : 2,152.76 = 461.14 : x
  2. Step 2: Convert to fraction form
    1,434.96/2,152.76 = 461.14/x
  3. Step 3: Cross multiply
    1,434.96x = 2,152.76 × 461.14
  4. Step 4: Simplify right side
    1,434.96x = 992,723.75
  5. Step 5: Solve for x
    x = 992,723.75/1,434.96
  6. Step 6: Final answer
    x = 691.81

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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.