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Finding the Fourth Proportional to 1,184.22, 1,775.52 and 568.26

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Solution

The fourth proportional to 1,184.22, 1,775.52 and 568.26 is: 852.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.22 : 1,775.52 = 568.26 : x
  2. Step 2: Convert to fraction form
    1,184.22/1,775.52 = 568.26/x
  3. Step 3: Cross multiply
    1,184.22x = 1,775.52 × 568.26
  4. Step 4: Simplify right side
    1,184.22x = 1,008,957.00
  5. Step 5: Solve for x
    x = 1,008,957.00/1,184.22
  6. Step 6: Final answer
    x = 852.00

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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.