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Finding the Fourth Proportional to 593.82, 886.15 and 521.83

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Solution

The fourth proportional to 593.82, 886.15 and 521.83 is: 778.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.82 : 886.15 = 521.83 : x
  2. Step 2: Convert to fraction form
    593.82/886.15 = 521.83/x
  3. Step 3: Cross multiply
    593.82x = 886.15 × 521.83
  4. Step 4: Simplify right side
    593.82x = 462,419.65
  5. Step 5: Solve for x
    x = 462,419.65/593.82
  6. Step 6: Final answer
    x = 778.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.