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Finding the Fourth Proportional to 1,088.15, 1,631.94 and 594.02

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Solution

The fourth proportional to 1,088.15, 1,631.94 and 594.02 is: 890.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.15 : 1,631.94 = 594.02 : x
  2. Step 2: Convert to fraction form
    1,088.15/1,631.94 = 594.02/x
  3. Step 3: Cross multiply
    1,088.15x = 1,631.94 × 594.02
  4. Step 4: Simplify right side
    1,088.15x = 969,396.84
  5. Step 5: Solve for x
    x = 969,396.84/1,088.15
  6. Step 6: Final answer
    x = 890.87

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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.