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Finding the Fourth Proportional to 697.83, 1,047.17 and 259.40

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Solution

The fourth proportional to 697.83, 1,047.17 and 259.40 is: 389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.83 : 1,047.17 = 259.40 : x
  2. Step 2: Convert to fraction form
    697.83/1,047.17 = 259.40/x
  3. Step 3: Cross multiply
    697.83x = 1,047.17 × 259.40
  4. Step 4: Simplify right side
    697.83x = 271,635.90
  5. Step 5: Solve for x
    x = 271,635.90/697.83
  6. Step 6: Final answer
    x = 389.26

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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.