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Finding the Fourth Proportional to 1,117.28, 1,541.94 and 645.26

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Solution

The fourth proportional to 1,117.28, 1,541.94 and 645.26 is: 890.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.28 : 1,541.94 = 645.26 : x
  2. Step 2: Convert to fraction form
    1,117.28/1,541.94 = 645.26/x
  3. Step 3: Cross multiply
    1,117.28x = 1,541.94 × 645.26
  4. Step 4: Simplify right side
    1,117.28x = 994,952.20
  5. Step 5: Solve for x
    x = 994,952.20/1,117.28
  6. Step 6: Final answer
    x = 890.51

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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.