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Finding the Fourth Proportional to 1,128.77, 1,557.24 and 686.60

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Solution

The fourth proportional to 1,128.77, 1,557.24 and 686.60 is: 947.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.77 : 1,557.24 = 686.60 : x
  2. Step 2: Convert to fraction form
    1,128.77/1,557.24 = 686.60/x
  3. Step 3: Cross multiply
    1,128.77x = 1,557.24 × 686.60
  4. Step 4: Simplify right side
    1,128.77x = 1,069,200.98
  5. Step 5: Solve for x
    x = 1,069,200.98/1,128.77
  6. Step 6: Final answer
    x = 947.23

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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.