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Finding the Fourth Proportional to 775.61, 1,070.40 and 460.97

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Solution

The fourth proportional to 775.61, 1,070.40 and 460.97 is: 636.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.61 : 1,070.40 = 460.97 : x
  2. Step 2: Convert to fraction form
    775.61/1,070.40 = 460.97/x
  3. Step 3: Cross multiply
    775.61x = 1,070.40 × 460.97
  4. Step 4: Simplify right side
    775.61x = 493,422.29
  5. Step 5: Solve for x
    x = 493,422.29/775.61
  6. Step 6: Final answer
    x = 636.17

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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.