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Finding the Fourth Proportional to 697.57, 1,046.02 and 405.16

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Solution

The fourth proportional to 697.57, 1,046.02 and 405.16 is: 607.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.57 : 1,046.02 = 405.16 : x
  2. Step 2: Convert to fraction form
    697.57/1,046.02 = 405.16/x
  3. Step 3: Cross multiply
    697.57x = 1,046.02 × 405.16
  4. Step 4: Simplify right side
    697.57x = 423,798.21
  5. Step 5: Solve for x
    x = 423,798.21/697.57
  6. Step 6: Final answer
    x = 607.54

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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.