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Finding the Fourth Proportional to 830.78, 1,246.02 and 310.66

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Solution

The fourth proportional to 830.78, 1,246.02 and 310.66 is: 465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.78 : 1,246.02 = 310.66 : x
  2. Step 2: Convert to fraction form
    830.78/1,246.02 = 310.66/x
  3. Step 3: Cross multiply
    830.78x = 1,246.02 × 310.66
  4. Step 4: Simplify right side
    830.78x = 387,088.57
  5. Step 5: Solve for x
    x = 387,088.57/830.78
  6. Step 6: Final answer
    x = 465.93

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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.