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Finding the Fourth Proportional to 1,182.36, 1,771.12 and 564.18

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Solution

The fourth proportional to 1,182.36, 1,771.12 and 564.18 is: 845.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.36 : 1,771.12 = 564.18 : x
  2. Step 2: Convert to fraction form
    1,182.36/1,771.12 = 564.18/x
  3. Step 3: Cross multiply
    1,182.36x = 1,771.12 × 564.18
  4. Step 4: Simplify right side
    1,182.36x = 999,230.48
  5. Step 5: Solve for x
    x = 999,230.48/1,182.36
  6. Step 6: Final answer
    x = 845.12

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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.