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Finding the Fourth Proportional to 967.55, 1,447.71 and 577.76

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Solution

The fourth proportional to 967.55, 1,447.71 and 577.76 is: 864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.55 : 1,447.71 = 577.76 : x
  2. Step 2: Convert to fraction form
    967.55/1,447.71 = 577.76/x
  3. Step 3: Cross multiply
    967.55x = 1,447.71 × 577.76
  4. Step 4: Simplify right side
    967.55x = 836,421.69
  5. Step 5: Solve for x
    x = 836,421.69/967.55
  6. Step 6: Final answer
    x = 864.48

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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.