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Finding the Fourth Proportional to 891.06, 1,229.52 and 512.94

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Solution

The fourth proportional to 891.06, 1,229.52 and 512.94 is: 707.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.06 : 1,229.52 = 512.94 : x
  2. Step 2: Convert to fraction form
    891.06/1,229.52 = 512.94/x
  3. Step 3: Cross multiply
    891.06x = 1,229.52 × 512.94
  4. Step 4: Simplify right side
    891.06x = 630,669.99
  5. Step 5: Solve for x
    x = 630,669.99/891.06
  6. Step 6: Final answer
    x = 707.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.