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Finding the Fourth Proportional to 666.16, 1,000.20 and 493.36

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Solution

The fourth proportional to 666.16, 1,000.20 and 493.36 is: 740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.16 : 1,000.20 = 493.36 : x
  2. Step 2: Convert to fraction form
    666.16/1,000.20 = 493.36/x
  3. Step 3: Cross multiply
    666.16x = 1,000.20 × 493.36
  4. Step 4: Simplify right side
    666.16x = 493,458.67
  5. Step 5: Solve for x
    x = 493,458.67/666.16
  6. Step 6: Final answer
    x = 740.75

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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.