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Finding the Fourth Proportional to 1,219.10, 1,828.92 and 569.48

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Solution

The fourth proportional to 1,219.10, 1,828.92 and 569.48 is: 854.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.10 : 1,828.92 = 569.48 : x
  2. Step 2: Convert to fraction form
    1,219.10/1,828.92 = 569.48/x
  3. Step 3: Cross multiply
    1,219.10x = 1,828.92 × 569.48
  4. Step 4: Simplify right side
    1,219.10x = 1,041,533.36
  5. Step 5: Solve for x
    x = 1,041,533.36/1,219.10
  6. Step 6: Final answer
    x = 854.35

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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.