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Finding the Fourth Proportional to 593.67, 886.10 and 524.49

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Solution

The fourth proportional to 593.67, 886.10 and 524.49 is: 782.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.67 : 886.10 = 524.49 : x
  2. Step 2: Convert to fraction form
    593.67/886.10 = 524.49/x
  3. Step 3: Cross multiply
    593.67x = 886.10 × 524.49
  4. Step 4: Simplify right side
    593.67x = 464,747.97
  5. Step 5: Solve for x
    x = 464,747.97/593.67
  6. Step 6: Final answer
    x = 782.84

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Why These Related Problems?

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