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Finding the Fourth Proportional to 1,129.27, 1,693.91 and 307.55

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Solution

The fourth proportional to 1,129.27, 1,693.91 and 307.55 is: 461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.27 : 1,693.91 = 307.55 : x
  2. Step 2: Convert to fraction form
    1,129.27/1,693.91 = 307.55/x
  3. Step 3: Cross multiply
    1,129.27x = 1,693.91 × 307.55
  4. Step 4: Simplify right side
    1,129.27x = 520,962.02
  5. Step 5: Solve for x
    x = 520,962.02/1,129.27
  6. Step 6: Final answer
    x = 461.33

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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.