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Finding the Fourth Proportional to 1,129.13, 1,693.40 and 307.36

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Solution

The fourth proportional to 1,129.13, 1,693.40 and 307.36 is: 460.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.13 : 1,693.40 = 307.36 : x
  2. Step 2: Convert to fraction form
    1,129.13/1,693.40 = 307.36/x
  3. Step 3: Cross multiply
    1,129.13x = 1,693.40 × 307.36
  4. Step 4: Simplify right side
    1,129.13x = 520,474.96
  5. Step 5: Solve for x
    x = 520,474.96/1,129.13
  6. Step 6: Final answer
    x = 460.95

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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.