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Finding the Fourth Proportional to 1,070.71, 1,606.31 and 454.45

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Solution

The fourth proportional to 1,070.71, 1,606.31 and 454.45 is: 681.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.71 : 1,606.31 = 454.45 : x
  2. Step 2: Convert to fraction form
    1,070.71/1,606.31 = 454.45/x
  3. Step 3: Cross multiply
    1,070.71x = 1,606.31 × 454.45
  4. Step 4: Simplify right side
    1,070.71x = 729,987.58
  5. Step 5: Solve for x
    x = 729,987.58/1,070.71
  6. Step 6: Final answer
    x = 681.78

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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.