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Finding the Fourth Proportional to 1,543.17, 2,314.93 and 503.13

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Solution

The fourth proportional to 1,543.17, 2,314.93 and 503.13 is: 754.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.17 : 2,314.93 = 503.13 : x
  2. Step 2: Convert to fraction form
    1,543.17/2,314.93 = 503.13/x
  3. Step 3: Cross multiply
    1,543.17x = 2,314.93 × 503.13
  4. Step 4: Simplify right side
    1,543.17x = 1,164,710.73
  5. Step 5: Solve for x
    x = 1,164,710.73/1,543.17
  6. Step 6: Final answer
    x = 754.75

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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.