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Finding the Fourth Proportional to 1,133.92, 1,700.64 and 517.22

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Solution

The fourth proportional to 1,133.92, 1,700.64 and 517.22 is: 775.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.92 : 1,700.64 = 517.22 : x
  2. Step 2: Convert to fraction form
    1,133.92/1,700.64 = 517.22/x
  3. Step 3: Cross multiply
    1,133.92x = 1,700.64 × 517.22
  4. Step 4: Simplify right side
    1,133.92x = 879,605.02
  5. Step 5: Solve for x
    x = 879,605.02/1,133.92
  6. Step 6: Final answer
    x = 775.72

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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.