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Finding the Fourth Proportional to 853.32, 1,278.74 and 462.99

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Solution

The fourth proportional to 853.32, 1,278.74 and 462.99 is: 693.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.32 : 1,278.74 = 462.99 : x
  2. Step 2: Convert to fraction form
    853.32/1,278.74 = 462.99/x
  3. Step 3: Cross multiply
    853.32x = 1,278.74 × 462.99
  4. Step 4: Simplify right side
    853.32x = 592,044.99
  5. Step 5: Solve for x
    x = 592,044.99/853.32
  6. Step 6: Final answer
    x = 693.81

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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.