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Finding the Fourth Proportional to 678.26, 934.44 and 547.04

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Solution

The fourth proportional to 678.26, 934.44 and 547.04 is: 753.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.26 : 934.44 = 547.04 : x
  2. Step 2: Convert to fraction form
    678.26/934.44 = 547.04/x
  3. Step 3: Cross multiply
    678.26x = 934.44 × 547.04
  4. Step 4: Simplify right side
    678.26x = 511,176.06
  5. Step 5: Solve for x
    x = 511,176.06/678.26
  6. Step 6: Final answer
    x = 753.66

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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.