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Finding the Fourth Proportional to 1,077.05, 1,612.68 and 562.97

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Solution

The fourth proportional to 1,077.05, 1,612.68 and 562.97 is: 842.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.05 : 1,612.68 = 562.97 : x
  2. Step 2: Convert to fraction form
    1,077.05/1,612.68 = 562.97/x
  3. Step 3: Cross multiply
    1,077.05x = 1,612.68 × 562.97
  4. Step 4: Simplify right side
    1,077.05x = 907,890.46
  5. Step 5: Solve for x
    x = 907,890.46/1,077.05
  6. Step 6: Final answer
    x = 842.94

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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.