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Finding the Fourth Proportional to 1,436.21, 2,154.42 and 463.01

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Solution

The fourth proportional to 1,436.21, 2,154.42 and 463.01 is: 694.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.21 : 2,154.42 = 463.01 : x
  2. Step 2: Convert to fraction form
    1,436.21/2,154.42 = 463.01/x
  3. Step 3: Cross multiply
    1,436.21x = 2,154.42 × 463.01
  4. Step 4: Simplify right side
    1,436.21x = 997,518.00
  5. Step 5: Solve for x
    x = 997,518.00/1,436.21
  6. Step 6: Final answer
    x = 694.55

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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.