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Finding the Fourth Proportional to 1,244.32, 1,864.65 and 550.36

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Solution

The fourth proportional to 1,244.32, 1,864.65 and 550.36 is: 824.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.32 : 1,864.65 = 550.36 : x
  2. Step 2: Convert to fraction form
    1,244.32/1,864.65 = 550.36/x
  3. Step 3: Cross multiply
    1,244.32x = 1,864.65 × 550.36
  4. Step 4: Simplify right side
    1,244.32x = 1,026,228.77
  5. Step 5: Solve for x
    x = 1,026,228.77/1,244.32
  6. Step 6: Final answer
    x = 824.73

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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.