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Finding the Fourth Proportional to 813.04, 1,122.00 and 440.02

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Solution

The fourth proportional to 813.04, 1,122.00 and 440.02 is: 607.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.04 : 1,122.00 = 440.02 : x
  2. Step 2: Convert to fraction form
    813.04/1,122.00 = 440.02/x
  3. Step 3: Cross multiply
    813.04x = 1,122.00 × 440.02
  4. Step 4: Simplify right side
    813.04x = 493,704.53
  5. Step 5: Solve for x
    x = 493,704.53/813.04
  6. Step 6: Final answer
    x = 607.23

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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.