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Finding the Fourth Proportional to 1,137.27, 1,569.83 and 718.32

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Solution

The fourth proportional to 1,137.27, 1,569.83 and 718.32 is: 991.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.27 : 1,569.83 = 718.32 : x
  2. Step 2: Convert to fraction form
    1,137.27/1,569.83 = 718.32/x
  3. Step 3: Cross multiply
    1,137.27x = 1,569.83 × 718.32
  4. Step 4: Simplify right side
    1,137.27x = 1,127,640.29
  5. Step 5: Solve for x
    x = 1,127,640.29/1,137.27
  6. Step 6: Final answer
    x = 991.53

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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.