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Finding the Fourth Proportional to 902.86, 1,245.16 and 588

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Solution

The fourth proportional to 902.86, 1,245.16 and 588 is: 810.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.86 : 1,245.16 = 588 : x
  2. Step 2: Convert to fraction form
    902.86/1,245.16 = 588/x
  3. Step 3: Cross multiply
    902.86x = 1,245.16 × 588
  4. Step 4: Simplify right side
    902.86x = 732,154.08
  5. Step 5: Solve for x
    x = 732,154.08/902.86
  6. Step 6: Final answer
    x = 810.93

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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.