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Finding the Fourth Proportional to 1,154.82, 1,729.44 and 808.50

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Solution

The fourth proportional to 1,154.82, 1,729.44 and 808.50 is: 1,210.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.82 : 1,729.44 = 808.50 : x
  2. Step 2: Convert to fraction form
    1,154.82/1,729.44 = 808.50/x
  3. Step 3: Cross multiply
    1,154.82x = 1,729.44 × 808.50
  4. Step 4: Simplify right side
    1,154.82x = 1,398,252.24
  5. Step 5: Solve for x
    x = 1,398,252.24/1,154.82
  6. Step 6: Final answer
    x = 1,210.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.