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Finding the Fourth Proportional to 677.04, 1,015.15 and 459.96

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Solution

The fourth proportional to 677.04, 1,015.15 and 459.96 is: 689.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.04 : 1,015.15 = 459.96 : x
  2. Step 2: Convert to fraction form
    677.04/1,015.15 = 459.96/x
  3. Step 3: Cross multiply
    677.04x = 1,015.15 × 459.96
  4. Step 4: Simplify right side
    677.04x = 466,921.02
  5. Step 5: Solve for x
    x = 466,921.02/677.04
  6. Step 6: Final answer
    x = 689.66

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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.