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Finding the Fourth Proportional to 1,410.92, 2,116.51 and 486.35

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Solution

The fourth proportional to 1,410.92, 2,116.51 and 486.35 is: 729.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.92 : 2,116.51 = 486.35 : x
  2. Step 2: Convert to fraction form
    1,410.92/2,116.51 = 486.35/x
  3. Step 3: Cross multiply
    1,410.92x = 2,116.51 × 486.35
  4. Step 4: Simplify right side
    1,410.92x = 1,029,364.64
  5. Step 5: Solve for x
    x = 1,029,364.64/1,410.92
  6. Step 6: Final answer
    x = 729.57

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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.