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Finding the Fourth Proportional to 592.08, 887.04 and 589.92

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Solution

The fourth proportional to 592.08, 887.04 and 589.92 is: 883.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.08 : 887.04 = 589.92 : x
  2. Step 2: Convert to fraction form
    592.08/887.04 = 589.92/x
  3. Step 3: Cross multiply
    592.08x = 887.04 × 589.92
  4. Step 4: Simplify right side
    592.08x = 523,282.64
  5. Step 5: Solve for x
    x = 523,282.64/592.08
  6. Step 6: Final answer
    x = 883.80

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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.