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Finding the Fourth Proportional to 1,543.80, 2,316.14 and 503.68

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Solution

The fourth proportional to 1,543.80, 2,316.14 and 503.68 is: 755.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.80 : 2,316.14 = 503.68 : x
  2. Step 2: Convert to fraction form
    1,543.80/2,316.14 = 503.68/x
  3. Step 3: Cross multiply
    1,543.80x = 2,316.14 × 503.68
  4. Step 4: Simplify right side
    1,543.80x = 1,166,589.76
  5. Step 5: Solve for x
    x = 1,166,589.76/1,543.80
  6. Step 6: Final answer
    x = 755.66

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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.