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Finding the Fourth Proportional to 886.42, 1,330.08 and 597.25

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Solution

The fourth proportional to 886.42, 1,330.08 and 597.25 is: 896.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.42 : 1,330.08 = 597.25 : x
  2. Step 2: Convert to fraction form
    886.42/1,330.08 = 597.25/x
  3. Step 3: Cross multiply
    886.42x = 1,330.08 × 597.25
  4. Step 4: Simplify right side
    886.42x = 794,390.28
  5. Step 5: Solve for x
    x = 794,390.28/886.42
  6. Step 6: Final answer
    x = 896.18

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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.