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Finding the Fourth Proportional to 666.80, 920.86 and 500.76

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Solution

The fourth proportional to 666.80, 920.86 and 500.76 is: 691.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.80 : 920.86 = 500.76 : x
  2. Step 2: Convert to fraction form
    666.80/920.86 = 500.76/x
  3. Step 3: Cross multiply
    666.80x = 920.86 × 500.76
  4. Step 4: Simplify right side
    666.80x = 461,129.85
  5. Step 5: Solve for x
    x = 461,129.85/666.80
  6. Step 6: Final answer
    x = 691.56

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.