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Finding the Fourth Proportional to 693.61, 956.86 and 427.83

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Solution

The fourth proportional to 693.61, 956.86 and 427.83 is: 590.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.61 : 956.86 = 427.83 : x
  2. Step 2: Convert to fraction form
    693.61/956.86 = 427.83/x
  3. Step 3: Cross multiply
    693.61x = 956.86 × 427.83
  4. Step 4: Simplify right side
    693.61x = 409,376.54
  5. Step 5: Solve for x
    x = 409,376.54/693.61
  6. Step 6: Final answer
    x = 590.21

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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.