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Finding the Fourth Proportional to 1,543.93, 2,315.32 and 503.69

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Solution

The fourth proportional to 1,543.93, 2,315.32 and 503.69 is: 755.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.93 : 2,315.32 = 503.69 : x
  2. Step 2: Convert to fraction form
    1,543.93/2,315.32 = 503.69/x
  3. Step 3: Cross multiply
    1,543.93x = 2,315.32 × 503.69
  4. Step 4: Simplify right side
    1,543.93x = 1,166,190.69
  5. Step 5: Solve for x
    x = 1,166,190.69/1,543.93
  6. Step 6: Final answer
    x = 755.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.