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Finding the Fourth Proportional to 1,176.62, 1,764.63 and 559.10

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Solution

The fourth proportional to 1,176.62, 1,764.63 and 559.10 is: 838.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.62 : 1,764.63 = 559.10 : x
  2. Step 2: Convert to fraction form
    1,176.62/1,764.63 = 559.10/x
  3. Step 3: Cross multiply
    1,176.62x = 1,764.63 × 559.10
  4. Step 4: Simplify right side
    1,176.62x = 986,601.84
  5. Step 5: Solve for x
    x = 986,601.84/1,176.62
  6. Step 6: Final answer
    x = 838.51

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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.