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Finding the Fourth Proportional to 678.60, 935.40 and 547.44

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Solution

The fourth proportional to 678.60, 935.40 and 547.44 is: 754.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.60 : 935.40 = 547.44 : x
  2. Step 2: Convert to fraction form
    678.60/935.40 = 547.44/x
  3. Step 3: Cross multiply
    678.60x = 935.40 × 547.44
  4. Step 4: Simplify right side
    678.60x = 512,075.38
  5. Step 5: Solve for x
    x = 512,075.38/678.60
  6. Step 6: Final answer
    x = 754.61

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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.