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Finding the Fourth Proportional to 589.23, 879.53 and 520.04

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Solution

The fourth proportional to 589.23, 879.53 and 520.04 is: 776.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.23 : 879.53 = 520.04 : x
  2. Step 2: Convert to fraction form
    589.23/879.53 = 520.04/x
  3. Step 3: Cross multiply
    589.23x = 879.53 × 520.04
  4. Step 4: Simplify right side
    589.23x = 457,390.38
  5. Step 5: Solve for x
    x = 457,390.38/589.23
  6. Step 6: Final answer
    x = 776.25

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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.