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Finding the Fourth Proportional to 1,219.93, 1,829.28 and 488.90

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Solution

The fourth proportional to 1,219.93, 1,829.28 and 488.90 is: 733.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.93 : 1,829.28 = 488.90 : x
  2. Step 2: Convert to fraction form
    1,219.93/1,829.28 = 488.90/x
  3. Step 3: Cross multiply
    1,219.93x = 1,829.28 × 488.90
  4. Step 4: Simplify right side
    1,219.93x = 894,341.40
  5. Step 5: Solve for x
    x = 894,341.40/1,219.93
  6. Step 6: Final answer
    x = 733.11

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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.