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Finding the Fourth Proportional to 775.18, 1,071.25 and 566.47

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Solution

The fourth proportional to 775.18, 1,071.25 and 566.47 is: 782.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.18 : 1,071.25 = 566.47 : x
  2. Step 2: Convert to fraction form
    775.18/1,071.25 = 566.47/x
  3. Step 3: Cross multiply
    775.18x = 1,071.25 × 566.47
  4. Step 4: Simplify right side
    775.18x = 606,826.89
  5. Step 5: Solve for x
    x = 606,826.89/775.18
  6. Step 6: Final answer
    x = 782.82

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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.