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Finding the Fourth Proportional to 794.90, 1,191.68 and 429.28

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Solution

The fourth proportional to 794.90, 1,191.68 and 429.28 is: 643.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.90 : 1,191.68 = 429.28 : x
  2. Step 2: Convert to fraction form
    794.90/1,191.68 = 429.28/x
  3. Step 3: Cross multiply
    794.90x = 1,191.68 × 429.28
  4. Step 4: Simplify right side
    794.90x = 511,559.26
  5. Step 5: Solve for x
    x = 511,559.26/794.90
  6. Step 6: Final answer
    x = 643.55

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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.