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Finding the Fourth Proportional to 1,066.64, 1,471.65 and 624.56

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Solution

The fourth proportional to 1,066.64, 1,471.65 and 624.56 is: 861.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.64 : 1,471.65 = 624.56 : x
  2. Step 2: Convert to fraction form
    1,066.64/1,471.65 = 624.56/x
  3. Step 3: Cross multiply
    1,066.64x = 1,471.65 × 624.56
  4. Step 4: Simplify right side
    1,066.64x = 919,133.72
  5. Step 5: Solve for x
    x = 919,133.72/1,066.64
  6. Step 6: Final answer
    x = 861.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.