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Finding the Fourth Proportional to 848.27, 1,170.03 and 778.59

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Solution

The fourth proportional to 848.27, 1,170.03 and 778.59 is: 1,073.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.27 : 1,170.03 = 778.59 : x
  2. Step 2: Convert to fraction form
    848.27/1,170.03 = 778.59/x
  3. Step 3: Cross multiply
    848.27x = 1,170.03 × 778.59
  4. Step 4: Simplify right side
    848.27x = 910,973.66
  5. Step 5: Solve for x
    x = 910,973.66/848.27
  6. Step 6: Final answer
    x = 1,073.92

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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.