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Finding the Fourth Proportional to 1,411.16, 2,116.16 and 486.56

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Solution

The fourth proportional to 1,411.16, 2,116.16 and 486.56 is: 729.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.16 : 2,116.16 = 486.56 : x
  2. Step 2: Convert to fraction form
    1,411.16/2,116.16 = 486.56/x
  3. Step 3: Cross multiply
    1,411.16x = 2,116.16 × 486.56
  4. Step 4: Simplify right side
    1,411.16x = 1,029,638.81
  5. Step 5: Solve for x
    x = 1,029,638.81/1,411.16
  6. Step 6: Final answer
    x = 729.64

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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.