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Finding the Fourth Proportional to 1,269.76, 1,752.41 and 772.35

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Solution

The fourth proportional to 1,269.76, 1,752.41 and 772.35 is: 1,065.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.76 : 1,752.41 = 772.35 : x
  2. Step 2: Convert to fraction form
    1,269.76/1,752.41 = 772.35/x
  3. Step 3: Cross multiply
    1,269.76x = 1,752.41 × 772.35
  4. Step 4: Simplify right side
    1,269.76x = 1,353,470.00
  5. Step 5: Solve for x
    x = 1,353,470.00/1,269.76
  6. Step 6: Final answer
    x = 1,065.93

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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.