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Finding the Fourth Proportional to 797.40, 1,100.88 and 535.68

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Solution

The fourth proportional to 797.40, 1,100.88 and 535.68 is: 739.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.40 : 1,100.88 = 535.68 : x
  2. Step 2: Convert to fraction form
    797.40/1,100.88 = 535.68/x
  3. Step 3: Cross multiply
    797.40x = 1,100.88 × 535.68
  4. Step 4: Simplify right side
    797.40x = 589,719.40
  5. Step 5: Solve for x
    x = 589,719.40/797.40
  6. Step 6: Final answer
    x = 739.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.