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Finding the Fourth Proportional to 1,549.04, 2,322.48 and 779.12

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Solution

The fourth proportional to 1,549.04, 2,322.48 and 779.12 is: 1,168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.04 : 2,322.48 = 779.12 : x
  2. Step 2: Convert to fraction form
    1,549.04/2,322.48 = 779.12/x
  3. Step 3: Cross multiply
    1,549.04x = 2,322.48 × 779.12
  4. Step 4: Simplify right side
    1,549.04x = 1,809,490.62
  5. Step 5: Solve for x
    x = 1,809,490.62/1,549.04
  6. Step 6: Final answer
    x = 1,168.14

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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.