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Finding the Fourth Proportional to 703.46, 1,052.90 and 636.10

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Solution

The fourth proportional to 703.46, 1,052.90 and 636.10 is: 952.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.46 : 1,052.90 = 636.10 : x
  2. Step 2: Convert to fraction form
    703.46/1,052.90 = 636.10/x
  3. Step 3: Cross multiply
    703.46x = 1,052.90 × 636.10
  4. Step 4: Simplify right side
    703.46x = 669,741.25
  5. Step 5: Solve for x
    x = 669,741.25/703.46
  6. Step 6: Final answer
    x = 952.07

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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.