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Finding the Fourth Proportional to 667.04, 1,002.01 and 564.53

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Solution

The fourth proportional to 667.04, 1,002.01 and 564.53 is: 848.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.04 : 1,002.01 = 564.53 : x
  2. Step 2: Convert to fraction form
    667.04/1,002.01 = 564.53/x
  3. Step 3: Cross multiply
    667.04x = 1,002.01 × 564.53
  4. Step 4: Simplify right side
    667.04x = 565,661.88
  5. Step 5: Solve for x
    x = 565,661.88/667.04
  6. Step 6: Final answer
    x = 848.02

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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.