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Finding the Fourth Proportional to 1,088.24, 1,631.03 and 593.46

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Solution

The fourth proportional to 1,088.24, 1,631.03 and 593.46 is: 889.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.24 : 1,631.03 = 593.46 : x
  2. Step 2: Convert to fraction form
    1,088.24/1,631.03 = 593.46/x
  3. Step 3: Cross multiply
    1,088.24x = 1,631.03 × 593.46
  4. Step 4: Simplify right side
    1,088.24x = 967,948.10
  5. Step 5: Solve for x
    x = 967,948.10/1,088.24
  6. Step 6: Final answer
    x = 889.47

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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.