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Finding the Fourth Proportional to 1,034.07, 1,550.80 and 546.86

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Solution

The fourth proportional to 1,034.07, 1,550.80 and 546.86 is: 820.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.07 : 1,550.80 = 546.86 : x
  2. Step 2: Convert to fraction form
    1,034.07/1,550.80 = 546.86/x
  3. Step 3: Cross multiply
    1,034.07x = 1,550.80 × 546.86
  4. Step 4: Simplify right side
    1,034.07x = 848,070.49
  5. Step 5: Solve for x
    x = 848,070.49/1,034.07
  6. Step 6: Final answer
    x = 820.13

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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.