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Finding the Fourth Proportional to 1,543.70, 2,315.53 and 618.59

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Solution

The fourth proportional to 1,543.70, 2,315.53 and 618.59 is: 927.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.70 : 2,315.53 = 618.59 : x
  2. Step 2: Convert to fraction form
    1,543.70/2,315.53 = 618.59/x
  3. Step 3: Cross multiply
    1,543.70x = 2,315.53 × 618.59
  4. Step 4: Simplify right side
    1,543.70x = 1,432,365.25
  5. Step 5: Solve for x
    x = 1,432,365.25/1,543.70
  6. Step 6: Final answer
    x = 927.88

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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.