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Finding the Fourth Proportional to 740.84, 1,022.48 and 446.19

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Solution

The fourth proportional to 740.84, 1,022.48 and 446.19 is: 615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.84 : 1,022.48 = 446.19 : x
  2. Step 2: Convert to fraction form
    740.84/1,022.48 = 446.19/x
  3. Step 3: Cross multiply
    740.84x = 1,022.48 × 446.19
  4. Step 4: Simplify right side
    740.84x = 456,218.12
  5. Step 5: Solve for x
    x = 456,218.12/740.84
  6. Step 6: Final answer
    x = 615.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.