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Finding the Fourth Proportional to 594.51, 890.96 and 523.23

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Solution

The fourth proportional to 594.51, 890.96 and 523.23 is: 784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.51 : 890.96 = 523.23 : x
  2. Step 2: Convert to fraction form
    594.51/890.96 = 523.23/x
  3. Step 3: Cross multiply
    594.51x = 890.96 × 523.23
  4. Step 4: Simplify right side
    594.51x = 466,174.38
  5. Step 5: Solve for x
    x = 466,174.38/594.51
  6. Step 6: Final answer
    x = 784.13

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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.