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Finding the Fourth Proportional to 797.16, 1,196.75 and 760.23

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Solution

The fourth proportional to 797.16, 1,196.75 and 760.23 is: 1,141.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.16 : 1,196.75 = 760.23 : x
  2. Step 2: Convert to fraction form
    797.16/1,196.75 = 760.23/x
  3. Step 3: Cross multiply
    797.16x = 1,196.75 × 760.23
  4. Step 4: Simplify right side
    797.16x = 909,801.45
  5. Step 5: Solve for x
    x = 909,801.45/797.16
  6. Step 6: Final answer
    x = 1,141.30

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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.