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Finding the Fourth Proportional to 703.32, 1,052.76 and 486.24

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Solution

The fourth proportional to 703.32, 1,052.76 and 486.24 is: 727.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.32 : 1,052.76 = 486.24 : x
  2. Step 2: Convert to fraction form
    703.32/1,052.76 = 486.24/x
  3. Step 3: Cross multiply
    703.32x = 1,052.76 × 486.24
  4. Step 4: Simplify right side
    703.32x = 511,894.02
  5. Step 5: Solve for x
    x = 511,894.02/703.32
  6. Step 6: Final answer
    x = 727.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.