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Finding the Fourth Proportional to 1,142.47, 1,711.42 and 525.33

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Solution

The fourth proportional to 1,142.47, 1,711.42 and 525.33 is: 786.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.47 : 1,711.42 = 525.33 : x
  2. Step 2: Convert to fraction form
    1,142.47/1,711.42 = 525.33/x
  3. Step 3: Cross multiply
    1,142.47x = 1,711.42 × 525.33
  4. Step 4: Simplify right side
    1,142.47x = 899,060.27
  5. Step 5: Solve for x
    x = 899,060.27/1,142.47
  6. Step 6: Final answer
    x = 786.94

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