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Finding the Fourth Proportional to 588.79, 883.19 and 524.09

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Solution

The fourth proportional to 588.79, 883.19 and 524.09 is: 786.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.79 : 883.19 = 524.09 : x
  2. Step 2: Convert to fraction form
    588.79/883.19 = 524.09/x
  3. Step 3: Cross multiply
    588.79x = 883.19 × 524.09
  4. Step 4: Simplify right side
    588.79x = 462,871.05
  5. Step 5: Solve for x
    x = 462,871.05/588.79
  6. Step 6: Final answer
    x = 786.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.