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Finding the Fourth Proportional to 1,543.16, 2,314.75 and 388.91

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Solution

The fourth proportional to 1,543.16, 2,314.75 and 388.91 is: 583.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.16 : 2,314.75 = 388.91 : x
  2. Step 2: Convert to fraction form
    1,543.16/2,314.75 = 388.91/x
  3. Step 3: Cross multiply
    1,543.16x = 2,314.75 × 388.91
  4. Step 4: Simplify right side
    1,543.16x = 900,229.42
  5. Step 5: Solve for x
    x = 900,229.42/1,543.16
  6. Step 6: Final answer
    x = 583.37

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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.