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Finding the Fourth Proportional to 1,063.19, 1,594.83 and 293.69

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Solution

The fourth proportional to 1,063.19, 1,594.83 and 293.69 is: 440.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.19 : 1,594.83 = 293.69 : x
  2. Step 2: Convert to fraction form
    1,063.19/1,594.83 = 293.69/x
  3. Step 3: Cross multiply
    1,063.19x = 1,594.83 × 293.69
  4. Step 4: Simplify right side
    1,063.19x = 468,385.62
  5. Step 5: Solve for x
    x = 468,385.62/1,063.19
  6. Step 6: Final answer
    x = 440.55

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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.