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Finding the Fourth Proportional to 1,306.26, 1,802.57 and 775.74

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Solution

The fourth proportional to 1,306.26, 1,802.57 and 775.74 is: 1,070.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.26 : 1,802.57 = 775.74 : x
  2. Step 2: Convert to fraction form
    1,306.26/1,802.57 = 775.74/x
  3. Step 3: Cross multiply
    1,306.26x = 1,802.57 × 775.74
  4. Step 4: Simplify right side
    1,306.26x = 1,398,328.53
  5. Step 5: Solve for x
    x = 1,398,328.53/1,306.26
  6. Step 6: Final answer
    x = 1,070.48

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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.