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Finding the Fourth Proportional to 1,436.90, 2,155.08 and 462.88

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Solution

The fourth proportional to 1,436.90, 2,155.08 and 462.88 is: 694.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.90 : 2,155.08 = 462.88 : x
  2. Step 2: Convert to fraction form
    1,436.90/2,155.08 = 462.88/x
  3. Step 3: Cross multiply
    1,436.90x = 2,155.08 × 462.88
  4. Step 4: Simplify right side
    1,436.90x = 997,532.66
  5. Step 5: Solve for x
    x = 997,532.66/1,436.90
  6. Step 6: Final answer
    x = 694.23

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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.