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Finding the Fourth Proportional to 1,063.82, 1,594.78 and 414.40

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Solution

The fourth proportional to 1,063.82, 1,594.78 and 414.40 is: 621.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.82 : 1,594.78 = 414.40 : x
  2. Step 2: Convert to fraction form
    1,063.82/1,594.78 = 414.40/x
  3. Step 3: Cross multiply
    1,063.82x = 1,594.78 × 414.40
  4. Step 4: Simplify right side
    1,063.82x = 660,871.81
  5. Step 5: Solve for x
    x = 660,871.81/1,063.82
  6. Step 6: Final answer
    x = 621.23

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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.