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Finding the Fourth Proportional to 1,117.42, 1,543.09 and 719.78

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Solution

The fourth proportional to 1,117.42, 1,543.09 and 719.78 is: 993.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.42 : 1,543.09 = 719.78 : x
  2. Step 2: Convert to fraction form
    1,117.42/1,543.09 = 719.78/x
  3. Step 3: Cross multiply
    1,117.42x = 1,543.09 × 719.78
  4. Step 4: Simplify right side
    1,117.42x = 1,110,685.32
  5. Step 5: Solve for x
    x = 1,110,685.32/1,117.42
  6. Step 6: Final answer
    x = 993.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.