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Finding the Fourth Proportional to 1,142.04, 1,575.96 and 716.52

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Solution

The fourth proportional to 1,142.04, 1,575.96 and 716.52 is: 988.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.04 : 1,575.96 = 716.52 : x
  2. Step 2: Convert to fraction form
    1,142.04/1,575.96 = 716.52/x
  3. Step 3: Cross multiply
    1,142.04x = 1,575.96 × 716.52
  4. Step 4: Simplify right side
    1,142.04x = 1,129,206.86
  5. Step 5: Solve for x
    x = 1,129,206.86/1,142.04
  6. Step 6: Final answer
    x = 988.76

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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.