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Finding the Fourth Proportional to 1,087.65, 1,631.25 and 394.20

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Solution

The fourth proportional to 1,087.65, 1,631.25 and 394.20 is: 591.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.65 : 1,631.25 = 394.20 : x
  2. Step 2: Convert to fraction form
    1,087.65/1,631.25 = 394.20/x
  3. Step 3: Cross multiply
    1,087.65x = 1,631.25 × 394.20
  4. Step 4: Simplify right side
    1,087.65x = 643,038.75
  5. Step 5: Solve for x
    x = 643,038.75/1,087.65
  6. Step 6: Final answer
    x = 591.22

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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.