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Finding the Fourth Proportional to 946.80, 1,306.66 and 527.23

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Solution

The fourth proportional to 946.80, 1,306.66 and 527.23 is: 727.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.80 : 1,306.66 = 527.23 : x
  2. Step 2: Convert to fraction form
    946.80/1,306.66 = 527.23/x
  3. Step 3: Cross multiply
    946.80x = 1,306.66 × 527.23
  4. Step 4: Simplify right side
    946.80x = 688,910.35
  5. Step 5: Solve for x
    x = 688,910.35/946.80
  6. Step 6: Final answer
    x = 727.62

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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.