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Finding the Fourth Proportional to 1,261.77, 1,894.42 and 645.91

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Solution

The fourth proportional to 1,261.77, 1,894.42 and 645.91 is: 969.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.77 : 1,894.42 = 645.91 : x
  2. Step 2: Convert to fraction form
    1,261.77/1,894.42 = 645.91/x
  3. Step 3: Cross multiply
    1,261.77x = 1,894.42 × 645.91
  4. Step 4: Simplify right side
    1,261.77x = 1,223,624.82
  5. Step 5: Solve for x
    x = 1,223,624.82/1,261.77
  6. Step 6: Final answer
    x = 969.77

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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.