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Finding the Fourth Proportional to 880.74, 1,214.73 and 658.38

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Solution

The fourth proportional to 880.74, 1,214.73 and 658.38 is: 908.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.74 : 1,214.73 = 658.38 : x
  2. Step 2: Convert to fraction form
    880.74/1,214.73 = 658.38/x
  3. Step 3: Cross multiply
    880.74x = 1,214.73 × 658.38
  4. Step 4: Simplify right side
    880.74x = 799,753.94
  5. Step 5: Solve for x
    x = 799,753.94/880.74
  6. Step 6: Final answer
    x = 908.05

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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.