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Finding the Fourth Proportional to 1,866.50, 2,799.75 and 498.50

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Solution

The fourth proportional to 1,866.50, 2,799.75 and 498.50 is: 747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.50 : 2,799.75 = 498.50 : x
  2. Step 2: Convert to fraction form
    1,866.50/2,799.75 = 498.50/x
  3. Step 3: Cross multiply
    1,866.50x = 2,799.75 × 498.50
  4. Step 4: Simplify right side
    1,866.50x = 1,395,675.38
  5. Step 5: Solve for x
    x = 1,395,675.38/1,866.50
  6. Step 6: Final answer
    x = 747.75

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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.