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Finding the Fourth Proportional to 1,435.62, 2,155.26 and 743.70

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Solution

The fourth proportional to 1,435.62, 2,155.26 and 743.70 is: 1,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.62 : 2,155.26 = 743.70 : x
  2. Step 2: Convert to fraction form
    1,435.62/2,155.26 = 743.70/x
  3. Step 3: Cross multiply
    1,435.62x = 2,155.26 × 743.70
  4. Step 4: Simplify right side
    1,435.62x = 1,602,866.86
  5. Step 5: Solve for x
    x = 1,602,866.86/1,435.62
  6. Step 6: Final answer
    x = 1,116.50

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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.