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Finding the Fourth Proportional to 797.40, 1,153.80 and 797.40

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Solution

The fourth proportional to 797.40, 1,153.80 and 797.40 is: 1,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.40 : 1,153.80 = 797.40 : x
  2. Step 2: Convert to fraction form
    797.40/1,153.80 = 797.40/x
  3. Step 3: Cross multiply
    797.40x = 1,153.80 × 797.40
  4. Step 4: Simplify right side
    797.40x = 920,040.12
  5. Step 5: Solve for x
    x = 920,040.12/797.40
  6. Step 6: Final answer
    x = 1,153.80

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.