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Finding the Fourth Proportional to 839.32, 1,260.20 and 533.12

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Solution

The fourth proportional to 839.32, 1,260.20 and 533.12 is: 800.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.32 : 1,260.20 = 533.12 : x
  2. Step 2: Convert to fraction form
    839.32/1,260.20 = 533.12/x
  3. Step 3: Cross multiply
    839.32x = 1,260.20 × 533.12
  4. Step 4: Simplify right side
    839.32x = 671,837.82
  5. Step 5: Solve for x
    x = 671,837.82/839.32
  6. Step 6: Final answer
    x = 800.45

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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.