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Finding the Fourth Proportional to 1,142.32, 1,716.12 and 709.60

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Solution

The fourth proportional to 1,142.32, 1,716.12 and 709.60 is: 1,066.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.32 : 1,716.12 = 709.60 : x
  2. Step 2: Convert to fraction form
    1,142.32/1,716.12 = 709.60/x
  3. Step 3: Cross multiply
    1,142.32x = 1,716.12 × 709.60
  4. Step 4: Simplify right side
    1,142.32x = 1,217,758.75
  5. Step 5: Solve for x
    x = 1,217,758.75/1,142.32
  6. Step 6: Final answer
    x = 1,066.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.