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Finding the Fourth Proportional to 1,269.13, 1,750.92 and 771.58

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Solution

The fourth proportional to 1,269.13, 1,750.92 and 771.58 is: 1,064.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.13 : 1,750.92 = 771.58 : x
  2. Step 2: Convert to fraction form
    1,269.13/1,750.92 = 771.58/x
  3. Step 3: Cross multiply
    1,269.13x = 1,750.92 × 771.58
  4. Step 4: Simplify right side
    1,269.13x = 1,350,971.00
  5. Step 5: Solve for x
    x = 1,350,971.00/1,269.13
  6. Step 6: Final answer
    x = 1,064.49

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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.