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Finding the Fourth Proportional to 1,034.02, 1,426.96 and 561.92

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Solution

The fourth proportional to 1,034.02, 1,426.96 and 561.92 is: 775.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.02 : 1,426.96 = 561.92 : x
  2. Step 2: Convert to fraction form
    1,034.02/1,426.96 = 561.92/x
  3. Step 3: Cross multiply
    1,034.02x = 1,426.96 × 561.92
  4. Step 4: Simplify right side
    1,034.02x = 801,834.17
  5. Step 5: Solve for x
    x = 801,834.17/1,034.02
  6. Step 6: Final answer
    x = 775.45

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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.