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Finding the Fourth Proportional to 889.83, 1,225.31 and 846.09

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Solution

The fourth proportional to 889.83, 1,225.31 and 846.09 is: 1,165.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.83 : 1,225.31 = 846.09 : x
  2. Step 2: Convert to fraction form
    889.83/1,225.31 = 846.09/x
  3. Step 3: Cross multiply
    889.83x = 1,225.31 × 846.09
  4. Step 4: Simplify right side
    889.83x = 1,036,718.31
  5. Step 5: Solve for x
    x = 1,036,718.31/889.83
  6. Step 6: Final answer
    x = 1,165.07

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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.