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Finding the Fourth Proportional to 770.33, 1,149.91 and 714.65

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Solution

The fourth proportional to 770.33, 1,149.91 and 714.65 is: 1,066.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.33 : 1,149.91 = 714.65 : x
  2. Step 2: Convert to fraction form
    770.33/1,149.91 = 714.65/x
  3. Step 3: Cross multiply
    770.33x = 1,149.91 × 714.65
  4. Step 4: Simplify right side
    770.33x = 821,775.65
  5. Step 5: Solve for x
    x = 821,775.65/770.33
  6. Step 6: Final answer
    x = 1,066.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.