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Finding the Fourth Proportional to 1,070.75, 1,606.23 and 412.43

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Solution

The fourth proportional to 1,070.75, 1,606.23 and 412.43 is: 618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.75 : 1,606.23 = 412.43 : x
  2. Step 2: Convert to fraction form
    1,070.75/1,606.23 = 412.43/x
  3. Step 3: Cross multiply
    1,070.75x = 1,606.23 × 412.43
  4. Step 4: Simplify right side
    1,070.75x = 662,449.41
  5. Step 5: Solve for x
    x = 662,449.41/1,070.75
  6. Step 6: Final answer
    x = 618.68

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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.