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Finding the Fourth Proportional to 675.64, 1,014.54 and 565.84

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Solution

The fourth proportional to 675.64, 1,014.54 and 565.84 is: 849.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.64 : 1,014.54 = 565.84 : x
  2. Step 2: Convert to fraction form
    675.64/1,014.54 = 565.84/x
  3. Step 3: Cross multiply
    675.64x = 1,014.54 × 565.84
  4. Step 4: Simplify right side
    675.64x = 574,067.31
  5. Step 5: Solve for x
    x = 574,067.31/675.64
  6. Step 6: Final answer
    x = 849.66

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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.