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Finding the Fourth Proportional to 1,214.53, 1,822.70 and 902.90

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Solution

The fourth proportional to 1,214.53, 1,822.70 and 902.90 is: 1,355.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.53 : 1,822.70 = 902.90 : x
  2. Step 2: Convert to fraction form
    1,214.53/1,822.70 = 902.90/x
  3. Step 3: Cross multiply
    1,214.53x = 1,822.70 × 902.90
  4. Step 4: Simplify right side
    1,214.53x = 1,645,712.39
  5. Step 5: Solve for x
    x = 1,645,712.39/1,214.53
  6. Step 6: Final answer
    x = 1,355.02

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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.