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Finding the Fourth Proportional to 1,222.08, 1,684.71 and 848.49

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Solution

The fourth proportional to 1,222.08, 1,684.71 and 848.49 is: 1,169.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.08 : 1,684.71 = 848.49 : x
  2. Step 2: Convert to fraction form
    1,222.08/1,684.71 = 848.49/x
  3. Step 3: Cross multiply
    1,222.08x = 1,684.71 × 848.49
  4. Step 4: Simplify right side
    1,222.08x = 1,429,459.59
  5. Step 5: Solve for x
    x = 1,429,459.59/1,222.08
  6. Step 6: Final answer
    x = 1,169.69

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