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Finding the Fourth Proportional to 569.80, 787.08 and 548.20

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Solution

The fourth proportional to 569.80, 787.08 and 548.20 is: 757.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.80 : 787.08 = 548.20 : x
  2. Step 2: Convert to fraction form
    569.80/787.08 = 548.20/x
  3. Step 3: Cross multiply
    569.80x = 787.08 × 548.20
  4. Step 4: Simplify right side
    569.80x = 431,477.26
  5. Step 5: Solve for x
    x = 431,477.26/569.80
  6. Step 6: Final answer
    x = 757.24

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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.