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Finding the Fourth Proportional to 666.97, 1,000.55 and 180.07

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Solution

The fourth proportional to 666.97, 1,000.55 and 180.07 is: 270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.97 : 1,000.55 = 180.07 : x
  2. Step 2: Convert to fraction form
    666.97/1,000.55 = 180.07/x
  3. Step 3: Cross multiply
    666.97x = 1,000.55 × 180.07
  4. Step 4: Simplify right side
    666.97x = 180,169.04
  5. Step 5: Solve for x
    x = 180,169.04/666.97
  6. Step 6: Final answer
    x = 270.13

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1.5x scale

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.