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Finding the Fourth Proportional to 1,128.40, 1,557.03 and 686.35

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Solution

The fourth proportional to 1,128.40, 1,557.03 and 686.35 is: 947.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.40 : 1,557.03 = 686.35 : x
  2. Step 2: Convert to fraction form
    1,128.40/1,557.03 = 686.35/x
  3. Step 3: Cross multiply
    1,128.40x = 1,557.03 × 686.35
  4. Step 4: Simplify right side
    1,128.40x = 1,068,667.54
  5. Step 5: Solve for x
    x = 1,068,667.54/1,128.40
  6. Step 6: Final answer
    x = 947.06

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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.