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Finding the Fourth Proportional to 830.40, 1,242.90 and 733.20

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Solution

The fourth proportional to 830.40, 1,242.90 and 733.20 is: 1,097.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.40 : 1,242.90 = 733.20 : x
  2. Step 2: Convert to fraction form
    830.40/1,242.90 = 733.20/x
  3. Step 3: Cross multiply
    830.40x = 1,242.90 × 733.20
  4. Step 4: Simplify right side
    830.40x = 911,294.28
  5. Step 5: Solve for x
    x = 911,294.28/830.40
  6. Step 6: Final answer
    x = 1,097.42

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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.