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Finding the Fourth Proportional to 1,046.50, 1,569.78 and 306.16

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Solution

The fourth proportional to 1,046.50, 1,569.78 and 306.16 is: 459.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.50 : 1,569.78 = 306.16 : x
  2. Step 2: Convert to fraction form
    1,046.50/1,569.78 = 306.16/x
  3. Step 3: Cross multiply
    1,046.50x = 1,569.78 × 306.16
  4. Step 4: Simplify right side
    1,046.50x = 480,599.92
  5. Step 5: Solve for x
    x = 480,599.92/1,046.50
  6. Step 6: Final answer
    x = 459.25

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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.