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Finding the Fourth Proportional to 1,151.64, 1,727.07 and 458.09

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Solution

The fourth proportional to 1,151.64, 1,727.07 and 458.09 is: 686.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.64 : 1,727.07 = 458.09 : x
  2. Step 2: Convert to fraction form
    1,151.64/1,727.07 = 458.09/x
  3. Step 3: Cross multiply
    1,151.64x = 1,727.07 × 458.09
  4. Step 4: Simplify right side
    1,151.64x = 791,153.50
  5. Step 5: Solve for x
    x = 791,153.50/1,151.64
  6. Step 6: Final answer
    x = 686.98

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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.