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Finding the Fourth Proportional to 1,129.39, 1,693.82 and 307.46

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Solution

The fourth proportional to 1,129.39, 1,693.82 and 307.46 is: 461.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.39 : 1,693.82 = 307.46 : x
  2. Step 2: Convert to fraction form
    1,129.39/1,693.82 = 307.46/x
  3. Step 3: Cross multiply
    1,129.39x = 1,693.82 × 307.46
  4. Step 4: Simplify right side
    1,129.39x = 520,786.90
  5. Step 5: Solve for x
    x = 520,786.90/1,129.39
  6. Step 6: Final answer
    x = 461.12

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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.