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Finding the Fourth Proportional to 1,342.66, 2,013.27 and 612.40

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Solution

The fourth proportional to 1,342.66, 2,013.27 and 612.40 is: 918.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.66 : 2,013.27 = 612.40 : x
  2. Step 2: Convert to fraction form
    1,342.66/2,013.27 = 612.40/x
  3. Step 3: Cross multiply
    1,342.66x = 2,013.27 × 612.40
  4. Step 4: Simplify right side
    1,342.66x = 1,232,926.55
  5. Step 5: Solve for x
    x = 1,232,926.55/1,342.66
  6. Step 6: Final answer
    x = 918.27

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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.