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Finding the Fourth Proportional to 964.90, 1,447.40 and 471.76

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Solution

The fourth proportional to 964.90, 1,447.40 and 471.76 is: 707.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.90 : 1,447.40 = 471.76 : x
  2. Step 2: Convert to fraction form
    964.90/1,447.40 = 471.76/x
  3. Step 3: Cross multiply
    964.90x = 1,447.40 × 471.76
  4. Step 4: Simplify right side
    964.90x = 682,825.42
  5. Step 5: Solve for x
    x = 682,825.42/964.90
  6. Step 6: Final answer
    x = 707.66

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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.