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Finding the Fourth Proportional to 1,065.86, 1,600.28 and 546.22

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Solution

The fourth proportional to 1,065.86, 1,600.28 and 546.22 is: 820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.86 : 1,600.28 = 546.22 : x
  2. Step 2: Convert to fraction form
    1,065.86/1,600.28 = 546.22/x
  3. Step 3: Cross multiply
    1,065.86x = 1,600.28 × 546.22
  4. Step 4: Simplify right side
    1,065.86x = 874,107.80
  5. Step 5: Solve for x
    x = 874,107.80/1,065.86
  6. Step 6: Final answer
    x = 820.10

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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.