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Finding the Fourth Proportional to 1,409.91, 2,115.30 and 630.57

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Solution

The fourth proportional to 1,409.91, 2,115.30 and 630.57 is: 946.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.91 : 2,115.30 = 630.57 : x
  2. Step 2: Convert to fraction form
    1,409.91/2,115.30 = 630.57/x
  3. Step 3: Cross multiply
    1,409.91x = 2,115.30 × 630.57
  4. Step 4: Simplify right side
    1,409.91x = 1,333,837.41
  5. Step 5: Solve for x
    x = 1,333,837.41/1,409.91
  6. Step 6: Final answer
    x = 946.04

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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.