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Finding the Fourth Proportional to 1,046.67, 1,569.73 and 306.28

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Solution

The fourth proportional to 1,046.67, 1,569.73 and 306.28 is: 459.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.67 : 1,569.73 = 306.28 : x
  2. Step 2: Convert to fraction form
    1,046.67/1,569.73 = 306.28/x
  3. Step 3: Cross multiply
    1,046.67x = 1,569.73 × 306.28
  4. Step 4: Simplify right side
    1,046.67x = 480,776.90
  5. Step 5: Solve for x
    x = 480,776.90/1,046.67
  6. Step 6: Final answer
    x = 459.34

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.