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Finding the Fourth Proportional to 1,097.95, 1,515.11 and 600.50

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Solution

The fourth proportional to 1,097.95, 1,515.11 and 600.50 is: 828.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.95 : 1,515.11 = 600.50 : x
  2. Step 2: Convert to fraction form
    1,097.95/1,515.11 = 600.50/x
  3. Step 3: Cross multiply
    1,097.95x = 1,515.11 × 600.50
  4. Step 4: Simplify right side
    1,097.95x = 909,823.56
  5. Step 5: Solve for x
    x = 909,823.56/1,097.95
  6. Step 6: Final answer
    x = 828.66

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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.