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Finding the Fourth Proportional to 1,310.28, 1,966.04 and 762.50

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Solution

The fourth proportional to 1,310.28, 1,966.04 and 762.50 is: 1,144.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.28 : 1,966.04 = 762.50 : x
  2. Step 2: Convert to fraction form
    1,310.28/1,966.04 = 762.50/x
  3. Step 3: Cross multiply
    1,310.28x = 1,966.04 × 762.50
  4. Step 4: Simplify right side
    1,310.28x = 1,499,105.50
  5. Step 5: Solve for x
    x = 1,499,105.50/1,310.28
  6. Step 6: Final answer
    x = 1,144.11

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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.