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Finding the Fourth Proportional to 866.43, 1,195.70 and 473.45

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Solution

The fourth proportional to 866.43, 1,195.70 and 473.45 is: 653.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.43 : 1,195.70 = 473.45 : x
  2. Step 2: Convert to fraction form
    866.43/1,195.70 = 473.45/x
  3. Step 3: Cross multiply
    866.43x = 1,195.70 × 473.45
  4. Step 4: Simplify right side
    866.43x = 566,095.82
  5. Step 5: Solve for x
    x = 566,095.82/866.43
  6. Step 6: Final answer
    x = 653.37

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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.