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Finding the Fourth Proportional to 986.50, 1,480.29 and 473.50

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Solution

The fourth proportional to 986.50, 1,480.29 and 473.50 is: 710.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.50 : 1,480.29 = 473.50 : x
  2. Step 2: Convert to fraction form
    986.50/1,480.29 = 473.50/x
  3. Step 3: Cross multiply
    986.50x = 1,480.29 × 473.50
  4. Step 4: Simplify right side
    986.50x = 700,917.32
  5. Step 5: Solve for x
    x = 700,917.32/986.50
  6. Step 6: Final answer
    x = 710.51

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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.