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Finding the Fourth Proportional to 677.02, 1,017.15 and 434.02

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Solution

The fourth proportional to 677.02, 1,017.15 and 434.02 is: 652.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.02 : 1,017.15 = 434.02 : x
  2. Step 2: Convert to fraction form
    677.02/1,017.15 = 434.02/x
  3. Step 3: Cross multiply
    677.02x = 1,017.15 × 434.02
  4. Step 4: Simplify right side
    677.02x = 441,463.44
  5. Step 5: Solve for x
    x = 441,463.44/677.02
  6. Step 6: Final answer
    x = 652.07

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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.