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Finding the Fourth Proportional to 1,055.92, 1,456.86 and 613.84

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Solution

The fourth proportional to 1,055.92, 1,456.86 and 613.84 is: 846.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.92 : 1,456.86 = 613.84 : x
  2. Step 2: Convert to fraction form
    1,055.92/1,456.86 = 613.84/x
  3. Step 3: Cross multiply
    1,055.92x = 1,456.86 × 613.84
  4. Step 4: Simplify right side
    1,055.92x = 894,278.94
  5. Step 5: Solve for x
    x = 894,278.94/1,055.92
  6. Step 6: Final answer
    x = 846.92

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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.