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Finding the Fourth Proportional to 767.74, 1,156.16 and 691.60

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Solution

The fourth proportional to 767.74, 1,156.16 and 691.60 is: 1,041.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.74 : 1,156.16 = 691.60 : x
  2. Step 2: Convert to fraction form
    767.74/1,156.16 = 691.60/x
  3. Step 3: Cross multiply
    767.74x = 1,156.16 × 691.60
  4. Step 4: Simplify right side
    767.74x = 799,600.26
  5. Step 5: Solve for x
    x = 799,600.26/767.74
  6. Step 6: Final answer
    x = 1,041.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.