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Finding the Fourth Proportional to 946.30, 1,306.09 and 632.10

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Solution

The fourth proportional to 946.30, 1,306.09 and 632.10 is: 872.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.30 : 1,306.09 = 632.10 : x
  2. Step 2: Convert to fraction form
    946.30/1,306.09 = 632.10/x
  3. Step 3: Cross multiply
    946.30x = 1,306.09 × 632.10
  4. Step 4: Simplify right side
    946.30x = 825,579.49
  5. Step 5: Solve for x
    x = 825,579.49/946.30
  6. Step 6: Final answer
    x = 872.43

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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.