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Finding the Fourth Proportional to 593.82, 886.61 and 524.57

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Solution

The fourth proportional to 593.82, 886.61 and 524.57 is: 783.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.82 : 886.61 = 524.57 : x
  2. Step 2: Convert to fraction form
    593.82/886.61 = 524.57/x
  3. Step 3: Cross multiply
    593.82x = 886.61 × 524.57
  4. Step 4: Simplify right side
    593.82x = 465,081.95
  5. Step 5: Solve for x
    x = 465,081.95/593.82
  6. Step 6: Final answer
    x = 783.20

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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.