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Finding the Fourth Proportional to 677.18, 1,019.46 and 462.14

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Solution

The fourth proportional to 677.18, 1,019.46 and 462.14 is: 695.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.18 : 1,019.46 = 462.14 : x
  2. Step 2: Convert to fraction form
    677.18/1,019.46 = 462.14/x
  3. Step 3: Cross multiply
    677.18x = 1,019.46 × 462.14
  4. Step 4: Simplify right side
    677.18x = 471,133.24
  5. Step 5: Solve for x
    x = 471,133.24/677.18
  6. Step 6: Final answer
    x = 695.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.