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Finding the Fourth Proportional to 677.80, 1,016.02 and 471.80

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Solution

The fourth proportional to 677.80, 1,016.02 and 471.80 is: 707.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.80 : 1,016.02 = 471.80 : x
  2. Step 2: Convert to fraction form
    677.80/1,016.02 = 471.80/x
  3. Step 3: Cross multiply
    677.80x = 1,016.02 × 471.80
  4. Step 4: Simplify right side
    677.80x = 479,358.24
  5. Step 5: Solve for x
    x = 479,358.24/677.80
  6. Step 6: Final answer
    x = 707.23

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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.