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Finding the Fourth Proportional to 1,287.10, 1,775.85 and 762.94

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Solution

The fourth proportional to 1,287.10, 1,775.85 and 762.94 is: 1,052.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.10 : 1,775.85 = 762.94 : x
  2. Step 2: Convert to fraction form
    1,287.10/1,775.85 = 762.94/x
  3. Step 3: Cross multiply
    1,287.10x = 1,775.85 × 762.94
  4. Step 4: Simplify right side
    1,287.10x = 1,354,867.00
  5. Step 5: Solve for x
    x = 1,354,867.00/1,287.10
  6. Step 6: Final answer
    x = 1,052.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.