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Finding the Fourth Proportional to 1,210.95, 1,671.30 and 713.61

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Solution

The fourth proportional to 1,210.95, 1,671.30 and 713.61 is: 984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.95 : 1,671.30 = 713.61 : x
  2. Step 2: Convert to fraction form
    1,210.95/1,671.30 = 713.61/x
  3. Step 3: Cross multiply
    1,210.95x = 1,671.30 × 713.61
  4. Step 4: Simplify right side
    1,210.95x = 1,192,656.39
  5. Step 5: Solve for x
    x = 1,192,656.39/1,210.95
  6. Step 6: Final answer
    x = 984.89

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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.