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Finding the Fourth Proportional to 1,769.15, 2,651.89 and 598.76

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Solution

The fourth proportional to 1,769.15, 2,651.89 and 598.76 is: 897.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.15 : 2,651.89 = 598.76 : x
  2. Step 2: Convert to fraction form
    1,769.15/2,651.89 = 598.76/x
  3. Step 3: Cross multiply
    1,769.15x = 2,651.89 × 598.76
  4. Step 4: Simplify right side
    1,769.15x = 1,587,845.66
  5. Step 5: Solve for x
    x = 1,587,845.66/1,769.15
  6. Step 6: Final answer
    x = 897.52

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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.