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Finding the Fourth Proportional to 889.65, 1,227.69 and 491.34

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Solution

The fourth proportional to 889.65, 1,227.69 and 491.34 is: 678.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.65 : 1,227.69 = 491.34 : x
  2. Step 2: Convert to fraction form
    889.65/1,227.69 = 491.34/x
  3. Step 3: Cross multiply
    889.65x = 1,227.69 × 491.34
  4. Step 4: Simplify right side
    889.65x = 603,216.77
  5. Step 5: Solve for x
    x = 603,216.77/889.65
  6. Step 6: Final answer
    x = 678.04

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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.