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Finding the Fourth Proportional to 1,114.52, 1,670.40 and 566.84

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Solution

The fourth proportional to 1,114.52, 1,670.40 and 566.84 is: 849.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.52 : 1,670.40 = 566.84 : x
  2. Step 2: Convert to fraction form
    1,114.52/1,670.40 = 566.84/x
  3. Step 3: Cross multiply
    1,114.52x = 1,670.40 × 566.84
  4. Step 4: Simplify right side
    1,114.52x = 946,849.54
  5. Step 5: Solve for x
    x = 946,849.54/1,114.52
  6. Step 6: Final answer
    x = 849.56

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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.