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Finding the Fourth Proportional to 698.34, 1,047.64 and 265.46

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Solution

The fourth proportional to 698.34, 1,047.64 and 265.46 is: 398.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.34 : 1,047.64 = 265.46 : x
  2. Step 2: Convert to fraction form
    698.34/1,047.64 = 265.46/x
  3. Step 3: Cross multiply
    698.34x = 1,047.64 × 265.46
  4. Step 4: Simplify right side
    698.34x = 278,108.49
  5. Step 5: Solve for x
    x = 278,108.49/698.34
  6. Step 6: Final answer
    x = 398.24

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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.