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Finding the Fourth Proportional to 1,063.57, 1,594.40 and 414.15

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Solution

The fourth proportional to 1,063.57, 1,594.40 and 414.15 is: 620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.57 : 1,594.40 = 414.15 : x
  2. Step 2: Convert to fraction form
    1,063.57/1,594.40 = 414.15/x
  3. Step 3: Cross multiply
    1,063.57x = 1,594.40 × 414.15
  4. Step 4: Simplify right side
    1,063.57x = 660,320.76
  5. Step 5: Solve for x
    x = 660,320.76/1,063.57
  6. Step 6: Final answer
    x = 620.86

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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.