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Finding the Fourth Proportional to 1,156.88, 1,733.39 and 766.36

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Solution

The fourth proportional to 1,156.88, 1,733.39 and 766.36 is: 1,148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.88 : 1,733.39 = 766.36 : x
  2. Step 2: Convert to fraction form
    1,156.88/1,733.39 = 766.36/x
  3. Step 3: Cross multiply
    1,156.88x = 1,733.39 × 766.36
  4. Step 4: Simplify right side
    1,156.88x = 1,328,400.76
  5. Step 5: Solve for x
    x = 1,328,400.76/1,156.88
  6. Step 6: Final answer
    x = 1,148.26

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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.