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Finding the Fourth Proportional to 813.51, 1,122.64 and 440.49

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Solution

The fourth proportional to 813.51, 1,122.64 and 440.49 is: 607.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.51 : 1,122.64 = 440.49 : x
  2. Step 2: Convert to fraction form
    813.51/1,122.64 = 440.49/x
  3. Step 3: Cross multiply
    813.51x = 1,122.64 × 440.49
  4. Step 4: Simplify right side
    813.51x = 494,506.08
  5. Step 5: Solve for x
    x = 494,506.08/813.51
  6. Step 6: Final answer
    x = 607.87

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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.