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Finding the Fourth Proportional to 698.14, 1,047.65 and 259.35

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Solution

The fourth proportional to 698.14, 1,047.65 and 259.35 is: 389.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.14 : 1,047.65 = 259.35 : x
  2. Step 2: Convert to fraction form
    698.14/1,047.65 = 259.35/x
  3. Step 3: Cross multiply
    698.14x = 1,047.65 × 259.35
  4. Step 4: Simplify right side
    698.14x = 271,704.75
  5. Step 5: Solve for x
    x = 271,704.75/698.14
  6. Step 6: Final answer
    x = 389.18

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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.