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Finding the Fourth Proportional to 1,470.74, 2,207.42 and 740.74

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Solution

The fourth proportional to 1,470.74, 2,207.42 and 740.74 is: 1,111.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.74 : 2,207.42 = 740.74 : x
  2. Step 2: Convert to fraction form
    1,470.74/2,207.42 = 740.74/x
  3. Step 3: Cross multiply
    1,470.74x = 2,207.42 × 740.74
  4. Step 4: Simplify right side
    1,470.74x = 1,635,124.29
  5. Step 5: Solve for x
    x = 1,635,124.29/1,470.74
  6. Step 6: Final answer
    x = 1,111.77

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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.