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Finding the Fourth Proportional to 1,309.75, 1,806.93 and 750.13

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Solution

The fourth proportional to 1,309.75, 1,806.93 and 750.13 is: 1,034.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.75 : 1,806.93 = 750.13 : x
  2. Step 2: Convert to fraction form
    1,309.75/1,806.93 = 750.13/x
  3. Step 3: Cross multiply
    1,309.75x = 1,806.93 × 750.13
  4. Step 4: Simplify right side
    1,309.75x = 1,355,432.40
  5. Step 5: Solve for x
    x = 1,355,432.40/1,309.75
  6. Step 6: Final answer
    x = 1,034.88

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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.