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Finding the Fourth Proportional to 1,040.34, 1,557.81 and 1,009.56

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Solution

The fourth proportional to 1,040.34, 1,557.81 and 1,009.56 is: 1,511.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.34 : 1,557.81 = 1,009.56 : x
  2. Step 2: Convert to fraction form
    1,040.34/1,557.81 = 1,009.56/x
  3. Step 3: Cross multiply
    1,040.34x = 1,557.81 × 1,009.56
  4. Step 4: Simplify right side
    1,040.34x = 1,572,702.66
  5. Step 5: Solve for x
    x = 1,572,702.66/1,040.34
  6. Step 6: Final answer
    x = 1,511.72

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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.