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Finding the Fourth Proportional to 803.08, 1,202.62 and 588.04

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Solution

The fourth proportional to 803.08, 1,202.62 and 588.04 is: 880.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.08 : 1,202.62 = 588.04 : x
  2. Step 2: Convert to fraction form
    803.08/1,202.62 = 588.04/x
  3. Step 3: Cross multiply
    803.08x = 1,202.62 × 588.04
  4. Step 4: Simplify right side
    803.08x = 707,188.66
  5. Step 5: Solve for x
    x = 707,188.66/803.08
  6. Step 6: Final answer
    x = 880.60

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Why These Related Problems?

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