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Finding the Fourth Proportional to 677.40, 1,015.12 and 471.64

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Solution

The fourth proportional to 677.40, 1,015.12 and 471.64 is: 706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.40 : 1,015.12 = 471.64 : x
  2. Step 2: Convert to fraction form
    677.40/1,015.12 = 471.64/x
  3. Step 3: Cross multiply
    677.40x = 1,015.12 × 471.64
  4. Step 4: Simplify right side
    677.40x = 478,771.20
  5. Step 5: Solve for x
    x = 478,771.20/677.40
  6. Step 6: Final answer
    x = 706.78

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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.