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Finding the Fourth Proportional to 889.23, 1,326.99 and 781.25

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Solution

The fourth proportional to 889.23, 1,326.99 and 781.25 is: 1,165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.23 : 1,326.99 = 781.25 : x
  2. Step 2: Convert to fraction form
    889.23/1,326.99 = 781.25/x
  3. Step 3: Cross multiply
    889.23x = 1,326.99 × 781.25
  4. Step 4: Simplify right side
    889.23x = 1,036,707.23
  5. Step 5: Solve for x
    x = 1,036,707.23/889.23
  6. Step 6: Final answer
    x = 1,165.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.