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Finding the Fourth Proportional to 666.85, 1,000.53 and 320.01

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Solution

The fourth proportional to 666.85, 1,000.53 and 320.01 is: 480.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.85 : 1,000.53 = 320.01 : x
  2. Step 2: Convert to fraction form
    666.85/1,000.53 = 320.01/x
  3. Step 3: Cross multiply
    666.85x = 1,000.53 × 320.01
  4. Step 4: Simplify right side
    666.85x = 320,179.61
  5. Step 5: Solve for x
    x = 320,179.61/666.85
  6. Step 6: Final answer
    x = 480.14

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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.