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Finding the Fourth Proportional to 1,411.82, 2,116.87 and 631.67

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Solution

The fourth proportional to 1,411.82, 2,116.87 and 631.67 is: 947.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.82 : 2,116.87 = 631.67 : x
  2. Step 2: Convert to fraction form
    1,411.82/2,116.87 = 631.67/x
  3. Step 3: Cross multiply
    1,411.82x = 2,116.87 × 631.67
  4. Step 4: Simplify right side
    1,411.82x = 1,337,161.83
  5. Step 5: Solve for x
    x = 1,337,161.83/1,411.82
  6. Step 6: Final answer
    x = 947.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.