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Finding the Fourth Proportional to 947.46, 1,306.62 and 714.18

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Solution

The fourth proportional to 947.46, 1,306.62 and 714.18 is: 984.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.46 : 1,306.62 = 714.18 : x
  2. Step 2: Convert to fraction form
    947.46/1,306.62 = 714.18/x
  3. Step 3: Cross multiply
    947.46x = 1,306.62 × 714.18
  4. Step 4: Simplify right side
    947.46x = 933,161.87
  5. Step 5: Solve for x
    x = 933,161.87/947.46
  6. Step 6: Final answer
    x = 984.91

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Double scale
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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.