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Finding the Fourth Proportional to 697.31, 1,045.10 and 350.12

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Solution

The fourth proportional to 697.31, 1,045.10 and 350.12 is: 524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.31 : 1,045.10 = 350.12 : x
  2. Step 2: Convert to fraction form
    697.31/1,045.10 = 350.12/x
  3. Step 3: Cross multiply
    697.31x = 1,045.10 × 350.12
  4. Step 4: Simplify right side
    697.31x = 365,913.90
  5. Step 5: Solve for x
    x = 365,913.90/697.31
  6. Step 6: Final answer
    x = 524.75

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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.