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Finding the Fourth Proportional to 918.16, 1,377.02 and 548.07

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Solution

The fourth proportional to 918.16, 1,377.02 and 548.07 is: 821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.16 : 1,377.02 = 548.07 : x
  2. Step 2: Convert to fraction form
    918.16/1,377.02 = 548.07/x
  3. Step 3: Cross multiply
    918.16x = 1,377.02 × 548.07
  4. Step 4: Simplify right side
    918.16x = 754,703.35
  5. Step 5: Solve for x
    x = 754,703.35/918.16
  6. Step 6: Final answer
    x = 821.97

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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.