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Finding the Fourth Proportional to 800.70, 1,197.30 and 593.25

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Solution

The fourth proportional to 800.70, 1,197.30 and 593.25 is: 887.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.70 : 1,197.30 = 593.25 : x
  2. Step 2: Convert to fraction form
    800.70/1,197.30 = 593.25/x
  3. Step 3: Cross multiply
    800.70x = 1,197.30 × 593.25
  4. Step 4: Simplify right side
    800.70x = 710,298.23
  5. Step 5: Solve for x
    x = 710,298.23/800.70
  6. Step 6: Final answer
    x = 887.10

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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.