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Finding the Fourth Proportional to 1,302.32, 1,796.60 and 750

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Solution

The fourth proportional to 1,302.32, 1,796.60 and 750 is: 1,034.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.32 : 1,796.60 = 750 : x
  2. Step 2: Convert to fraction form
    1,302.32/1,796.60 = 750/x
  3. Step 3: Cross multiply
    1,302.32x = 1,796.60 × 750
  4. Step 4: Simplify right side
    1,302.32x = 1,347,450
  5. Step 5: Solve for x
    x = 1,347,450/1,302.32
  6. Step 6: Final answer
    x = 1,034.65

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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.