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Finding the Fourth Proportional to 830.16, 1,243.89 and 440.13

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Solution

The fourth proportional to 830.16, 1,243.89 and 440.13 is: 659.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.16 : 1,243.89 = 440.13 : x
  2. Step 2: Convert to fraction form
    830.16/1,243.89 = 440.13/x
  3. Step 3: Cross multiply
    830.16x = 1,243.89 × 440.13
  4. Step 4: Simplify right side
    830.16x = 547,473.31
  5. Step 5: Solve for x
    x = 547,473.31/830.16
  6. Step 6: Final answer
    x = 659.48

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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.