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Finding the Fourth Proportional to 677.52, 1,017.90 and 434.52

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Solution

The fourth proportional to 677.52, 1,017.90 and 434.52 is: 652.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.52 : 1,017.90 = 434.52 : x
  2. Step 2: Convert to fraction form
    677.52/1,017.90 = 434.52/x
  3. Step 3: Cross multiply
    677.52x = 1,017.90 × 434.52
  4. Step 4: Simplify right side
    677.52x = 442,297.91
  5. Step 5: Solve for x
    x = 442,297.91/677.52
  6. Step 6: Final answer
    x = 652.82

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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.