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Finding the Fourth Proportional to 790.09, 1,184.90 and 400.55

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Solution

The fourth proportional to 790.09, 1,184.90 and 400.55 is: 600.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.09 : 1,184.90 = 400.55 : x
  2. Step 2: Convert to fraction form
    790.09/1,184.90 = 400.55/x
  3. Step 3: Cross multiply
    790.09x = 1,184.90 × 400.55
  4. Step 4: Simplify right side
    790.09x = 474,603.77
  5. Step 5: Solve for x
    x = 474,603.77/790.09
  6. Step 6: Final answer
    x = 600.70

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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.