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Finding the Fourth Proportional to 1,118.72, 1,543.82 and 621.34

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Solution

The fourth proportional to 1,118.72, 1,543.82 and 621.34 is: 857.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.72 : 1,543.82 = 621.34 : x
  2. Step 2: Convert to fraction form
    1,118.72/1,543.82 = 621.34/x
  3. Step 3: Cross multiply
    1,118.72x = 1,543.82 × 621.34
  4. Step 4: Simplify right side
    1,118.72x = 959,237.12
  5. Step 5: Solve for x
    x = 959,237.12/1,118.72
  6. Step 6: Final answer
    x = 857.44

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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.