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Finding the Fourth Proportional to 1,255.93, 1,883.84 and 598.12

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Solution

The fourth proportional to 1,255.93, 1,883.84 and 598.12 is: 897.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.93 : 1,883.84 = 598.12 : x
  2. Step 2: Convert to fraction form
    1,255.93/1,883.84 = 598.12/x
  3. Step 3: Cross multiply
    1,255.93x = 1,883.84 × 598.12
  4. Step 4: Simplify right side
    1,255.93x = 1,126,754.68
  5. Step 5: Solve for x
    x = 1,126,754.68/1,255.93
  6. Step 6: Final answer
    x = 897.15

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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.