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Finding the Fourth Proportional to 1,097.94, 1,515.20 and 600.57

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Solution

The fourth proportional to 1,097.94, 1,515.20 and 600.57 is: 828.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.94 : 1,515.20 = 600.57 : x
  2. Step 2: Convert to fraction form
    1,097.94/1,515.20 = 600.57/x
  3. Step 3: Cross multiply
    1,097.94x = 1,515.20 × 600.57
  4. Step 4: Simplify right side
    1,097.94x = 909,983.66
  5. Step 5: Solve for x
    x = 909,983.66/1,097.94
  6. Step 6: Final answer
    x = 828.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.