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Finding the Fourth Proportional to 1,137.01, 1,706.66 and 766.77

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Solution

The fourth proportional to 1,137.01, 1,706.66 and 766.77 is: 1,150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.01 : 1,706.66 = 766.77 : x
  2. Step 2: Convert to fraction form
    1,137.01/1,706.66 = 766.77/x
  3. Step 3: Cross multiply
    1,137.01x = 1,706.66 × 766.77
  4. Step 4: Simplify right side
    1,137.01x = 1,308,615.69
  5. Step 5: Solve for x
    x = 1,308,615.69/1,137.01
  6. Step 6: Final answer
    x = 1,150.93

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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.