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Finding the Fourth Proportional to 1,253.56, 1,729.72 and 715.20

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Solution

The fourth proportional to 1,253.56, 1,729.72 and 715.20 is: 986.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.56 : 1,729.72 = 715.20 : x
  2. Step 2: Convert to fraction form
    1,253.56/1,729.72 = 715.20/x
  3. Step 3: Cross multiply
    1,253.56x = 1,729.72 × 715.20
  4. Step 4: Simplify right side
    1,253.56x = 1,237,095.74
  5. Step 5: Solve for x
    x = 1,237,095.74/1,253.56
  6. Step 6: Final answer
    x = 986.87

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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.