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Finding the Fourth Proportional to 1,440.17, 2,160.71 and 466.35

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Solution

The fourth proportional to 1,440.17, 2,160.71 and 466.35 is: 699.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.17 : 2,160.71 = 466.35 : x
  2. Step 2: Convert to fraction form
    1,440.17/2,160.71 = 466.35/x
  3. Step 3: Cross multiply
    1,440.17x = 2,160.71 × 466.35
  4. Step 4: Simplify right side
    1,440.17x = 1,007,647.11
  5. Step 5: Solve for x
    x = 1,007,647.11/1,440.17
  6. Step 6: Final answer
    x = 699.67

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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.