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Finding the Fourth Proportional to 1,342.64, 2,013.61 and 612.07

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Solution

The fourth proportional to 1,342.64, 2,013.61 and 612.07 is: 917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.64 : 2,013.61 = 612.07 : x
  2. Step 2: Convert to fraction form
    1,342.64/2,013.61 = 612.07/x
  3. Step 3: Cross multiply
    1,342.64x = 2,013.61 × 612.07
  4. Step 4: Simplify right side
    1,342.64x = 1,232,470.27
  5. Step 5: Solve for x
    x = 1,232,470.27/1,342.64
  6. Step 6: Final answer
    x = 917.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.