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Finding the Fourth Proportional to 1,178.56, 1,625.70 and 913.24

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Solution

The fourth proportional to 1,178.56, 1,625.70 and 913.24 is: 1,259.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.56 : 1,625.70 = 913.24 : x
  2. Step 2: Convert to fraction form
    1,178.56/1,625.70 = 913.24/x
  3. Step 3: Cross multiply
    1,178.56x = 1,625.70 × 913.24
  4. Step 4: Simplify right side
    1,178.56x = 1,484,654.27
  5. Step 5: Solve for x
    x = 1,484,654.27/1,178.56
  6. Step 6: Final answer
    x = 1,259.72

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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.