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Finding the Fourth Proportional to 703.31, 969.69 and 537.26

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Solution

The fourth proportional to 703.31, 969.69 and 537.26 is: 740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.31 : 969.69 = 537.26 : x
  2. Step 2: Convert to fraction form
    703.31/969.69 = 537.26/x
  3. Step 3: Cross multiply
    703.31x = 969.69 × 537.26
  4. Step 4: Simplify right side
    703.31x = 520,970.80
  5. Step 5: Solve for x
    x = 520,970.80/703.31
  6. Step 6: Final answer
    x = 740.75

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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.