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Finding the Fourth Proportional to 1,145.52, 1,580.52 and 679.56

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Solution

The fourth proportional to 1,145.52, 1,580.52 and 679.56 is: 937.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.52 : 1,580.52 = 679.56 : x
  2. Step 2: Convert to fraction form
    1,145.52/1,580.52 = 679.56/x
  3. Step 3: Cross multiply
    1,145.52x = 1,580.52 × 679.56
  4. Step 4: Simplify right side
    1,145.52x = 1,074,058.17
  5. Step 5: Solve for x
    x = 1,074,058.17/1,145.52
  6. Step 6: Final answer
    x = 937.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.