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Finding the Fourth Proportional to 697.07, 1,045.13 and 367.61

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Solution

The fourth proportional to 697.07, 1,045.13 and 367.61 is: 551.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.07 : 1,045.13 = 367.61 : x
  2. Step 2: Convert to fraction form
    697.07/1,045.13 = 367.61/x
  3. Step 3: Cross multiply
    697.07x = 1,045.13 × 367.61
  4. Step 4: Simplify right side
    697.07x = 384,193.18
  5. Step 5: Solve for x
    x = 384,193.18/697.07
  6. Step 6: Final answer
    x = 551.15

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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.