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Finding the Fourth Proportional to 1,768.32, 2,652.48 and 469.76

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Solution

The fourth proportional to 1,768.32, 2,652.48 and 469.76 is: 704.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.32 : 2,652.48 = 469.76 : x
  2. Step 2: Convert to fraction form
    1,768.32/2,652.48 = 469.76/x
  3. Step 3: Cross multiply
    1,768.32x = 2,652.48 × 469.76
  4. Step 4: Simplify right side
    1,768.32x = 1,246,015.74
  5. Step 5: Solve for x
    x = 1,246,015.74/1,768.32
  6. Step 6: Final answer
    x = 704.63

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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.