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Finding the Fourth Proportional to 1,543.86, 2,315.97 and 503.60

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Solution

The fourth proportional to 1,543.86, 2,315.97 and 503.60 is: 755.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.86 : 2,315.97 = 503.60 : x
  2. Step 2: Convert to fraction form
    1,543.86/2,315.97 = 503.60/x
  3. Step 3: Cross multiply
    1,543.86x = 2,315.97 × 503.60
  4. Step 4: Simplify right side
    1,543.86x = 1,166,310.91
  5. Step 5: Solve for x
    x = 1,166,310.91/1,543.86
  6. Step 6: Final answer
    x = 755.45

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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.