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Finding the Fourth Proportional to 1,118.01, 1,543.28 and 803.73

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Solution

The fourth proportional to 1,118.01, 1,543.28 and 803.73 is: 1,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.01 : 1,543.28 = 803.73 : x
  2. Step 2: Convert to fraction form
    1,118.01/1,543.28 = 803.73/x
  3. Step 3: Cross multiply
    1,118.01x = 1,543.28 × 803.73
  4. Step 4: Simplify right side
    1,118.01x = 1,240,376.42
  5. Step 5: Solve for x
    x = 1,240,376.42/1,118.01
  6. Step 6: Final answer
    x = 1,109.45

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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.