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Finding the Fourth Proportional to 1,438.14, 2,155.82 and 463.58

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Solution

The fourth proportional to 1,438.14, 2,155.82 and 463.58 is: 694.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.14 : 2,155.82 = 463.58 : x
  2. Step 2: Convert to fraction form
    1,438.14/2,155.82 = 463.58/x
  3. Step 3: Cross multiply
    1,438.14x = 2,155.82 × 463.58
  4. Step 4: Simplify right side
    1,438.14x = 999,395.04
  5. Step 5: Solve for x
    x = 999,395.04/1,438.14
  6. Step 6: Final answer
    x = 694.92

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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.