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Finding the Fourth Proportional to 1,543.09, 2,314.63 and 618.64

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Solution

The fourth proportional to 1,543.09, 2,314.63 and 618.64 is: 927.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.09 : 2,314.63 = 618.64 : x
  2. Step 2: Convert to fraction form
    1,543.09/2,314.63 = 618.64/x
  3. Step 3: Cross multiply
    1,543.09x = 2,314.63 × 618.64
  4. Step 4: Simplify right side
    1,543.09x = 1,431,915.52
  5. Step 5: Solve for x
    x = 1,431,915.52/1,543.09
  6. Step 6: Final answer
    x = 927.95

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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.