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Finding the Fourth Proportional to 946.91, 1,306.90 and 568.69

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Solution

The fourth proportional to 946.91, 1,306.90 and 568.69 is: 784.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.91 : 1,306.90 = 568.69 : x
  2. Step 2: Convert to fraction form
    946.91/1,306.90 = 568.69/x
  3. Step 3: Cross multiply
    946.91x = 1,306.90 × 568.69
  4. Step 4: Simplify right side
    946.91x = 743,220.96
  5. Step 5: Solve for x
    x = 743,220.96/946.91
  6. Step 6: Final answer
    x = 784.89

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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.