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Finding the Fourth Proportional to 1,114.74, 1,670.67 and 566.46

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Solution

The fourth proportional to 1,114.74, 1,670.67 and 566.46 is: 848.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.74 : 1,670.67 = 566.46 : x
  2. Step 2: Convert to fraction form
    1,114.74/1,670.67 = 566.46/x
  3. Step 3: Cross multiply
    1,114.74x = 1,670.67 × 566.46
  4. Step 4: Simplify right side
    1,114.74x = 946,367.73
  5. Step 5: Solve for x
    x = 946,367.73/1,114.74
  6. Step 6: Final answer
    x = 848.96

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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.