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Finding the Fourth Proportional to 830.16, 1,242.61 and 463.84

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Solution

The fourth proportional to 830.16, 1,242.61 and 463.84 is: 694.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.16 : 1,242.61 = 463.84 : x
  2. Step 2: Convert to fraction form
    830.16/1,242.61 = 463.84/x
  3. Step 3: Cross multiply
    830.16x = 1,242.61 × 463.84
  4. Step 4: Simplify right side
    830.16x = 576,367.96
  5. Step 5: Solve for x
    x = 576,367.96/830.16
  6. Step 6: Final answer
    x = 694.29

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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.