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Finding the Fourth Proportional to 1,306.56, 1,802.80 and 775.24

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Solution

The fourth proportional to 1,306.56, 1,802.80 and 775.24 is: 1,069.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.56 : 1,802.80 = 775.24 : x
  2. Step 2: Convert to fraction form
    1,306.56/1,802.80 = 775.24/x
  3. Step 3: Cross multiply
    1,306.56x = 1,802.80 × 775.24
  4. Step 4: Simplify right side
    1,306.56x = 1,397,602.67
  5. Step 5: Solve for x
    x = 1,397,602.67/1,306.56
  6. Step 6: Final answer
    x = 1,069.68

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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.