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Finding the Fourth Proportional to 1,001.11, 1,501.66 and 770.41

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Solution

The fourth proportional to 1,001.11, 1,501.66 and 770.41 is: 1,155.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.11 : 1,501.66 = 770.41 : x
  2. Step 2: Convert to fraction form
    1,001.11/1,501.66 = 770.41/x
  3. Step 3: Cross multiply
    1,001.11x = 1,501.66 × 770.41
  4. Step 4: Simplify right side
    1,001.11x = 1,156,893.88
  5. Step 5: Solve for x
    x = 1,156,893.88/1,001.11
  6. Step 6: Final answer
    x = 1,155.61

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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.