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Finding the Fourth Proportional to 848.09, 1,170.42 and 494.12

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Solution

The fourth proportional to 848.09, 1,170.42 and 494.12 is: 681.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.09 : 1,170.42 = 494.12 : x
  2. Step 2: Convert to fraction form
    848.09/1,170.42 = 494.12/x
  3. Step 3: Cross multiply
    848.09x = 1,170.42 × 494.12
  4. Step 4: Simplify right side
    848.09x = 578,322.08
  5. Step 5: Solve for x
    x = 578,322.08/848.09
  6. Step 6: Final answer
    x = 681.92

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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.