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Finding the Fourth Proportional to 1,137.70, 1,706.77 and 407.33

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Solution

The fourth proportional to 1,137.70, 1,706.77 and 407.33 is: 611.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.70 : 1,706.77 = 407.33 : x
  2. Step 2: Convert to fraction form
    1,137.70/1,706.77 = 407.33/x
  3. Step 3: Cross multiply
    1,137.70x = 1,706.77 × 407.33
  4. Step 4: Simplify right side
    1,137.70x = 695,217.00
  5. Step 5: Solve for x
    x = 695,217.00/1,137.70
  6. Step 6: Final answer
    x = 611.07

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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.