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Finding the Fourth Proportional to 1,156.78, 1,733.41 and 848.17

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Solution

The fourth proportional to 1,156.78, 1,733.41 and 848.17 is: 1,270.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.78 : 1,733.41 = 848.17 : x
  2. Step 2: Convert to fraction form
    1,156.78/1,733.41 = 848.17/x
  3. Step 3: Cross multiply
    1,156.78x = 1,733.41 × 848.17
  4. Step 4: Simplify right side
    1,156.78x = 1,470,226.36
  5. Step 5: Solve for x
    x = 1,470,226.36/1,156.78
  6. Step 6: Final answer
    x = 1,270.96

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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.