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Finding the Fourth Proportional to 1,184.82, 1,777.08 and 568.14

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Solution

The fourth proportional to 1,184.82, 1,777.08 and 568.14 is: 852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.82 : 1,777.08 = 568.14 : x
  2. Step 2: Convert to fraction form
    1,184.82/1,777.08 = 568.14/x
  3. Step 3: Cross multiply
    1,184.82x = 1,777.08 × 568.14
  4. Step 4: Simplify right side
    1,184.82x = 1,009,630.23
  5. Step 5: Solve for x
    x = 1,009,630.23/1,184.82
  6. Step 6: Final answer
    x = 852.14

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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.