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Finding the Fourth Proportional to 1,247.12, 1,720.98 and 715.84

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Solution

The fourth proportional to 1,247.12, 1,720.98 and 715.84 is: 987.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.12 : 1,720.98 = 715.84 : x
  2. Step 2: Convert to fraction form
    1,247.12/1,720.98 = 715.84/x
  3. Step 3: Cross multiply
    1,247.12x = 1,720.98 × 715.84
  4. Step 4: Simplify right side
    1,247.12x = 1,231,946.32
  5. Step 5: Solve for x
    x = 1,231,946.32/1,247.12
  6. Step 6: Final answer
    x = 987.83

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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.