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Finding the Fourth Proportional to 1,116.47, 1,664.87 and 1,038.56

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Solution

The fourth proportional to 1,116.47, 1,664.87 and 1,038.56 is: 1,548.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.47 : 1,664.87 = 1,038.56 : x
  2. Step 2: Convert to fraction form
    1,116.47/1,664.87 = 1,038.56/x
  3. Step 3: Cross multiply
    1,116.47x = 1,664.87 × 1,038.56
  4. Step 4: Simplify right side
    1,116.47x = 1,729,059.71
  5. Step 5: Solve for x
    x = 1,729,059.71/1,116.47
  6. Step 6: Final answer
    x = 1,548.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.