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Finding the Fourth Proportional to 1,142.26, 1,576.14 and 669.97

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Solution

The fourth proportional to 1,142.26, 1,576.14 and 669.97 is: 924.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.26 : 1,576.14 = 669.97 : x
  2. Step 2: Convert to fraction form
    1,142.26/1,576.14 = 669.97/x
  3. Step 3: Cross multiply
    1,142.26x = 1,576.14 × 669.97
  4. Step 4: Simplify right side
    1,142.26x = 1,055,971.29
  5. Step 5: Solve for x
    x = 1,055,971.29/1,142.26
  6. Step 6: Final answer
    x = 924.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.