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Finding the Fourth Proportional to 947.56, 1,306.08 and 714.28

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Solution

The fourth proportional to 947.56, 1,306.08 and 714.28 is: 984.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.56 : 1,306.08 = 714.28 : x
  2. Step 2: Convert to fraction form
    947.56/1,306.08 = 714.28/x
  3. Step 3: Cross multiply
    947.56x = 1,306.08 × 714.28
  4. Step 4: Simplify right side
    947.56x = 932,906.82
  5. Step 5: Solve for x
    x = 932,906.82/947.56
  6. Step 6: Final answer
    x = 984.54

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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.