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Finding the Fourth Proportional to 585.11, 876.90 and 523.04

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Solution

The fourth proportional to 585.11, 876.90 and 523.04 is: 783.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.11 : 876.90 = 523.04 : x
  2. Step 2: Convert to fraction form
    585.11/876.90 = 523.04/x
  3. Step 3: Cross multiply
    585.11x = 876.90 × 523.04
  4. Step 4: Simplify right side
    585.11x = 458,658.51
  5. Step 5: Solve for x
    x = 458,658.51/585.11
  6. Step 6: Final answer
    x = 783.88

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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.