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Finding the Fourth Proportional to 740.45, 1,109.99 and 374.82

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Solution

The fourth proportional to 740.45, 1,109.99 and 374.82 is: 561.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.45 : 1,109.99 = 374.82 : x
  2. Step 2: Convert to fraction form
    740.45/1,109.99 = 374.82/x
  3. Step 3: Cross multiply
    740.45x = 1,109.99 × 374.82
  4. Step 4: Simplify right side
    740.45x = 416,043.23
  5. Step 5: Solve for x
    x = 416,043.23/740.45
  6. Step 6: Final answer
    x = 561.88

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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.