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Finding the Fourth Proportional to 694.04, 1,041.02 and 405.26

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Solution

The fourth proportional to 694.04, 1,041.02 and 405.26 is: 607.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.04 : 1,041.02 = 405.26 : x
  2. Step 2: Convert to fraction form
    694.04/1,041.02 = 405.26/x
  3. Step 3: Cross multiply
    694.04x = 1,041.02 × 405.26
  4. Step 4: Simplify right side
    694.04x = 421,883.77
  5. Step 5: Solve for x
    x = 421,883.77/694.04
  6. Step 6: Final answer
    x = 607.87

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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.