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Finding the Fourth Proportional to 1,358.22, 2,037.74 and 963.66

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Solution

The fourth proportional to 1,358.22, 2,037.74 and 963.66 is: 1,445.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.22 : 2,037.74 = 963.66 : x
  2. Step 2: Convert to fraction form
    1,358.22/2,037.74 = 963.66/x
  3. Step 3: Cross multiply
    1,358.22x = 2,037.74 × 963.66
  4. Step 4: Simplify right side
    1,358.22x = 1,963,683.71
  5. Step 5: Solve for x
    x = 1,963,683.71/1,358.22
  6. Step 6: Final answer
    x = 1,445.78

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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.