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Finding the Fourth Proportional to 1,411.08, 2,116.35 and 487.23

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Solution

The fourth proportional to 1,411.08, 2,116.35 and 487.23 is: 730.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.08 : 2,116.35 = 487.23 : x
  2. Step 2: Convert to fraction form
    1,411.08/2,116.35 = 487.23/x
  3. Step 3: Cross multiply
    1,411.08x = 2,116.35 × 487.23
  4. Step 4: Simplify right side
    1,411.08x = 1,031,149.21
  5. Step 5: Solve for x
    x = 1,031,149.21/1,411.08
  6. Step 6: Final answer
    x = 730.75

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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.