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Finding the Fourth Proportional to 677.54, 1,016.28 and 471.50

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Solution

The fourth proportional to 677.54, 1,016.28 and 471.50 is: 707.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.54 : 1,016.28 = 471.50 : x
  2. Step 2: Convert to fraction form
    677.54/1,016.28 = 471.50/x
  3. Step 3: Cross multiply
    677.54x = 1,016.28 × 471.50
  4. Step 4: Simplify right side
    677.54x = 479,176.02
  5. Step 5: Solve for x
    x = 479,176.02/677.54
  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.