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Finding the Fourth Proportional to 848.52, 1,170.87 and 494.42

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Solution

The fourth proportional to 848.52, 1,170.87 and 494.42 is: 682.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.52 : 1,170.87 = 494.42 : x
  2. Step 2: Convert to fraction form
    848.52/1,170.87 = 494.42/x
  3. Step 3: Cross multiply
    848.52x = 1,170.87 × 494.42
  4. Step 4: Simplify right side
    848.52x = 578,893.84
  5. Step 5: Solve for x
    x = 578,893.84/848.52
  6. Step 6: Final answer
    x = 682.24

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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.