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Finding the Fourth Proportional to 1,339.55, 1,848.54 and 742.06

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Solution

The fourth proportional to 1,339.55, 1,848.54 and 742.06 is: 1,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.55 : 1,848.54 = 742.06 : x
  2. Step 2: Convert to fraction form
    1,339.55/1,848.54 = 742.06/x
  3. Step 3: Cross multiply
    1,339.55x = 1,848.54 × 742.06
  4. Step 4: Simplify right side
    1,339.55x = 1,371,727.59
  5. Step 5: Solve for x
    x = 1,371,727.59/1,339.55
  6. Step 6: Final answer
    x = 1,024.02

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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.