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Finding the Fourth Proportional to 848.22, 1,170.50 and 494.15

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Solution

The fourth proportional to 848.22, 1,170.50 and 494.15 is: 681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.22 : 1,170.50 = 494.15 : x
  2. Step 2: Convert to fraction form
    848.22/1,170.50 = 494.15/x
  3. Step 3: Cross multiply
    848.22x = 1,170.50 × 494.15
  4. Step 4: Simplify right side
    848.22x = 578,400.88
  5. Step 5: Solve for x
    x = 578,400.88/848.22
  6. Step 6: Final answer
    x = 681.90

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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.