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Finding the Fourth Proportional to 703.10, 969.77 and 537.02

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Solution

The fourth proportional to 703.10, 969.77 and 537.02 is: 740.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.10 : 969.77 = 537.02 : x
  2. Step 2: Convert to fraction form
    703.10/969.77 = 537.02/x
  3. Step 3: Cross multiply
    703.10x = 969.77 × 537.02
  4. Step 4: Simplify right side
    703.10x = 520,787.64
  5. Step 5: Solve for x
    x = 520,787.64/703.10
  6. Step 6: Final answer
    x = 740.71

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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.