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Finding the Fourth Proportional to 1,175.23, 1,761.63 and 589.87

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Solution

The fourth proportional to 1,175.23, 1,761.63 and 589.87 is: 884.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.23 : 1,761.63 = 589.87 : x
  2. Step 2: Convert to fraction form
    1,175.23/1,761.63 = 589.87/x
  3. Step 3: Cross multiply
    1,175.23x = 1,761.63 × 589.87
  4. Step 4: Simplify right side
    1,175.23x = 1,039,132.69
  5. Step 5: Solve for x
    x = 1,039,132.69/1,175.23
  6. Step 6: Final answer
    x = 884.20

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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.