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Finding the Fourth Proportional to 947.12, 1,308.84 and 772.40

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Solution

The fourth proportional to 947.12, 1,308.84 and 772.40 is: 1,067.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.12 : 1,308.84 = 772.40 : x
  2. Step 2: Convert to fraction form
    947.12/1,308.84 = 772.40/x
  3. Step 3: Cross multiply
    947.12x = 1,308.84 × 772.40
  4. Step 4: Simplify right side
    947.12x = 1,010,948.02
  5. Step 5: Solve for x
    x = 1,010,948.02/947.12
  6. Step 6: Final answer
    x = 1,067.39

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1.5x scale

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.