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Finding the Fourth Proportional to 1,344.07, 2,015.35 and 466.17

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Solution

The fourth proportional to 1,344.07, 2,015.35 and 466.17 is: 698.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.07 : 2,015.35 = 466.17 : x
  2. Step 2: Convert to fraction form
    1,344.07/2,015.35 = 466.17/x
  3. Step 3: Cross multiply
    1,344.07x = 2,015.35 × 466.17
  4. Step 4: Simplify right side
    1,344.07x = 939,495.71
  5. Step 5: Solve for x
    x = 939,495.71/1,344.07
  6. Step 6: Final answer
    x = 698.99

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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.