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Finding the Fourth Proportional to 1,184.04, 1,774.85 and 566.82

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Solution

The fourth proportional to 1,184.04, 1,774.85 and 566.82 is: 849.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.04 : 1,774.85 = 566.82 : x
  2. Step 2: Convert to fraction form
    1,184.04/1,774.85 = 566.82/x
  3. Step 3: Cross multiply
    1,184.04x = 1,774.85 × 566.82
  4. Step 4: Simplify right side
    1,184.04x = 1,006,017.64
  5. Step 5: Solve for x
    x = 1,006,017.64/1,184.04
  6. Step 6: Final answer
    x = 849.65

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