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Finding the Fourth Proportional to 1,211.51, 1,671.64 and 713.81

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Solution

The fourth proportional to 1,211.51, 1,671.64 and 713.81 is: 984.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.51 : 1,671.64 = 713.81 : x
  2. Step 2: Convert to fraction form
    1,211.51/1,671.64 = 713.81/x
  3. Step 3: Cross multiply
    1,211.51x = 1,671.64 × 713.81
  4. Step 4: Simplify right side
    1,211.51x = 1,193,235.74
  5. Step 5: Solve for x
    x = 1,193,235.74/1,211.51
  6. Step 6: Final answer
    x = 984.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.