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Finding the Fourth Proportional to 957.70, 1,436.55 and 593.20

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Solution

The fourth proportional to 957.70, 1,436.55 and 593.20 is: 889.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.70 : 1,436.55 = 593.20 : x
  2. Step 2: Convert to fraction form
    957.70/1,436.55 = 593.20/x
  3. Step 3: Cross multiply
    957.70x = 1,436.55 × 593.20
  4. Step 4: Simplify right side
    957.70x = 852,161.46
  5. Step 5: Solve for x
    x = 852,161.46/957.70
  6. Step 6: Final answer
    x = 889.80

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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.