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Finding the Fourth Proportional to 1,543.21, 2,314.86 and 503.20

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Solution

The fourth proportional to 1,543.21, 2,314.86 and 503.20 is: 754.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.21 : 2,314.86 = 503.20 : x
  2. Step 2: Convert to fraction form
    1,543.21/2,314.86 = 503.20/x
  3. Step 3: Cross multiply
    1,543.21x = 2,314.86 × 503.20
  4. Step 4: Simplify right side
    1,543.21x = 1,164,837.55
  5. Step 5: Solve for x
    x = 1,164,837.55/1,543.21
  6. Step 6: Final answer
    x = 754.81

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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.