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Finding the Fourth Proportional to 1,410.76, 2,116.86 and 588.88

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Solution

The fourth proportional to 1,410.76, 2,116.86 and 588.88 is: 883.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.76 : 2,116.86 = 588.88 : x
  2. Step 2: Convert to fraction form
    1,410.76/2,116.86 = 588.88/x
  3. Step 3: Cross multiply
    1,410.76x = 2,116.86 × 588.88
  4. Step 4: Simplify right side
    1,410.76x = 1,246,576.52
  5. Step 5: Solve for x
    x = 1,246,576.52/1,410.76
  6. Step 6: Final answer
    x = 883.62

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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.