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Finding the Fourth Proportional to 677.09, 1,015.29 and 457.72

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Solution

The fourth proportional to 677.09, 1,015.29 and 457.72 is: 686.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.09 : 1,015.29 = 457.72 : x
  2. Step 2: Convert to fraction form
    677.09/1,015.29 = 457.72/x
  3. Step 3: Cross multiply
    677.09x = 1,015.29 × 457.72
  4. Step 4: Simplify right side
    677.09x = 464,716.00
  5. Step 5: Solve for x
    x = 464,716.00/677.09
  6. Step 6: Final answer
    x = 686.34

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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.