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Finding the Fourth Proportional to 1,065.88, 1,471 and 600.22

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Solution

The fourth proportional to 1,065.88, 1,471 and 600.22 is: 828.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.88 : 1,471 = 600.22 : x
  2. Step 2: Convert to fraction form
    1,065.88/1,471 = 600.22/x
  3. Step 3: Cross multiply
    1,065.88x = 1,471 × 600.22
  4. Step 4: Simplify right side
    1,065.88x = 882,916.27
  5. Step 5: Solve for x
    x = 882,916.27/1,065.88
  6. Step 6: Final answer
    x = 828.35

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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.