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Finding the Fourth Proportional to 678.82, 1,017.31 and 435.22

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Solution

The fourth proportional to 678.82, 1,017.31 and 435.22 is: 652.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.82 : 1,017.31 = 435.22 : x
  2. Step 2: Convert to fraction form
    678.82/1,017.31 = 435.22/x
  3. Step 3: Cross multiply
    678.82x = 1,017.31 × 435.22
  4. Step 4: Simplify right side
    678.82x = 442,753.66
  5. Step 5: Solve for x
    x = 442,753.66/678.82
  6. Step 6: Final answer
    x = 652.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.