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Finding the Fourth Proportional to 700.91, 1,049.64 and 547.08

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Solution

The fourth proportional to 700.91, 1,049.64 and 547.08 is: 819.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.91 : 1,049.64 = 547.08 : x
  2. Step 2: Convert to fraction form
    700.91/1,049.64 = 547.08/x
  3. Step 3: Cross multiply
    700.91x = 1,049.64 × 547.08
  4. Step 4: Simplify right side
    700.91x = 574,237.05
  5. Step 5: Solve for x
    x = 574,237.05/700.91
  6. Step 6: Final answer
    x = 819.27

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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.