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Finding the Fourth Proportional to 697.19, 1,045.60 and 404.06

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Solution

The fourth proportional to 697.19, 1,045.60 and 404.06 is: 605.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.19 : 1,045.60 = 404.06 : x
  2. Step 2: Convert to fraction form
    697.19/1,045.60 = 404.06/x
  3. Step 3: Cross multiply
    697.19x = 1,045.60 × 404.06
  4. Step 4: Simplify right side
    697.19x = 422,478.90
  5. Step 5: Solve for x
    x = 422,478.90/697.19
  6. Step 6: Final answer
    x = 605.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.