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Finding the Fourth Proportional to 1,077.86, 1,616.66 and 522.98

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Solution

The fourth proportional to 1,077.86, 1,616.66 and 522.98 is: 784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.86 : 1,616.66 = 522.98 : x
  2. Step 2: Convert to fraction form
    1,077.86/1,616.66 = 522.98/x
  3. Step 3: Cross multiply
    1,077.86x = 1,616.66 × 522.98
  4. Step 4: Simplify right side
    1,077.86x = 845,480.85
  5. Step 5: Solve for x
    x = 845,480.85/1,077.86
  6. Step 6: Final answer
    x = 784.41

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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.