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Finding the Fourth Proportional to 1,219.38, 1,828.24 and 569.76

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Solution

The fourth proportional to 1,219.38, 1,828.24 and 569.76 is: 854.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.38 : 1,828.24 = 569.76 : x
  2. Step 2: Convert to fraction form
    1,219.38/1,828.24 = 569.76/x
  3. Step 3: Cross multiply
    1,219.38x = 1,828.24 × 569.76
  4. Step 4: Simplify right side
    1,219.38x = 1,041,658.02
  5. Step 5: Solve for x
    x = 1,041,658.02/1,219.38
  6. Step 6: Final answer
    x = 854.25

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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.