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Finding the Fourth Proportional to 592.74, 882.77 and 589.74

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Solution

The fourth proportional to 592.74, 882.77 and 589.74 is: 878.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.74 : 882.77 = 589.74 : x
  2. Step 2: Convert to fraction form
    592.74/882.77 = 589.74/x
  3. Step 3: Cross multiply
    592.74x = 882.77 × 589.74
  4. Step 4: Simplify right side
    592.74x = 520,601.83
  5. Step 5: Solve for x
    x = 520,601.83/592.74
  6. Step 6: Final answer
    x = 878.30

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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.