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Finding the Fourth Proportional to 1,063.71, 1,594.42 and 405.28

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Solution

The fourth proportional to 1,063.71, 1,594.42 and 405.28 is: 607.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.71 : 1,594.42 = 405.28 : x
  2. Step 2: Convert to fraction form
    1,063.71/1,594.42 = 405.28/x
  3. Step 3: Cross multiply
    1,063.71x = 1,594.42 × 405.28
  4. Step 4: Simplify right side
    1,063.71x = 646,186.54
  5. Step 5: Solve for x
    x = 646,186.54/1,063.71
  6. Step 6: Final answer
    x = 607.48

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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.