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Finding the Fourth Proportional to 1,768.93, 2,651.57 and 598.55

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Solution

The fourth proportional to 1,768.93, 2,651.57 and 598.55 is: 897.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.93 : 2,651.57 = 598.55 : x
  2. Step 2: Convert to fraction form
    1,768.93/2,651.57 = 598.55/x
  3. Step 3: Cross multiply
    1,768.93x = 2,651.57 × 598.55
  4. Step 4: Simplify right side
    1,768.93x = 1,587,080.97
  5. Step 5: Solve for x
    x = 1,587,080.97/1,768.93
  6. Step 6: Final answer
    x = 897.20

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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.