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Finding the Fourth Proportional to 697.89, 963.06 and 383.13

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Solution

The fourth proportional to 697.89, 963.06 and 383.13 is: 528.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.89 : 963.06 = 383.13 : x
  2. Step 2: Convert to fraction form
    697.89/963.06 = 383.13/x
  3. Step 3: Cross multiply
    697.89x = 963.06 × 383.13
  4. Step 4: Simplify right side
    697.89x = 368,977.18
  5. Step 5: Solve for x
    x = 368,977.18/697.89
  6. Step 6: Final answer
    x = 528.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.