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Finding the Fourth Proportional to 886.10, 1,327.80 and 597.20

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Solution

The fourth proportional to 886.10, 1,327.80 and 597.20 is: 894.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.10 : 1,327.80 = 597.20 : x
  2. Step 2: Convert to fraction form
    886.10/1,327.80 = 597.20/x
  3. Step 3: Cross multiply
    886.10x = 1,327.80 × 597.20
  4. Step 4: Simplify right side
    886.10x = 792,962.16
  5. Step 5: Solve for x
    x = 792,962.16/886.10
  6. Step 6: Final answer
    x = 894.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.