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Finding the Fourth Proportional to 697.60, 1,047.68 and 355.84

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Solution

The fourth proportional to 697.60, 1,047.68 and 355.84 is: 534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.60 : 1,047.68 = 355.84 : x
  2. Step 2: Convert to fraction form
    697.60/1,047.68 = 355.84/x
  3. Step 3: Cross multiply
    697.60x = 1,047.68 × 355.84
  4. Step 4: Simplify right side
    697.60x = 372,806.45
  5. Step 5: Solve for x
    x = 372,806.45/697.60
  6. Step 6: Final answer
    x = 534.41

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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.