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Finding the Fourth Proportional to 1,339.58, 1,848.60 and 742.11

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Solution

The fourth proportional to 1,339.58, 1,848.60 and 742.11 is: 1,024.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.58 : 1,848.60 = 742.11 : x
  2. Step 2: Convert to fraction form
    1,339.58/1,848.60 = 742.11/x
  3. Step 3: Cross multiply
    1,339.58x = 1,848.60 × 742.11
  4. Step 4: Simplify right side
    1,339.58x = 1,371,864.55
  5. Step 5: Solve for x
    x = 1,371,864.55/1,339.58
  6. Step 6: Final answer
    x = 1,024.10

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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.