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Finding the Fourth Proportional to 703.27, 1,052.74 and 442.35

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Solution

The fourth proportional to 703.27, 1,052.74 and 442.35 is: 662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.27 : 1,052.74 = 442.35 : x
  2. Step 2: Convert to fraction form
    703.27/1,052.74 = 442.35/x
  3. Step 3: Cross multiply
    703.27x = 1,052.74 × 442.35
  4. Step 4: Simplify right side
    703.27x = 465,679.54
  5. Step 5: Solve for x
    x = 465,679.54/703.27
  6. Step 6: Final answer
    x = 662.16

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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.