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Finding the Fourth Proportional to 1,166.80, 1,748.58 and 589

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Solution

The fourth proportional to 1,166.80, 1,748.58 and 589 is: 882.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.80 : 1,748.58 = 589 : x
  2. Step 2: Convert to fraction form
    1,166.80/1,748.58 = 589/x
  3. Step 3: Cross multiply
    1,166.80x = 1,748.58 × 589
  4. Step 4: Simplify right side
    1,166.80x = 1,029,913.62
  5. Step 5: Solve for x
    x = 1,029,913.62/1,166.80
  6. Step 6: Final answer
    x = 882.68

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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.