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Finding the Fourth Proportional to 1,031.58, 1,422.63 and 957.06

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Solution

The fourth proportional to 1,031.58, 1,422.63 and 957.06 is: 1,319.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.58 : 1,422.63 = 957.06 : x
  2. Step 2: Convert to fraction form
    1,031.58/1,422.63 = 957.06/x
  3. Step 3: Cross multiply
    1,031.58x = 1,422.63 × 957.06
  4. Step 4: Simplify right side
    1,031.58x = 1,361,542.27
  5. Step 5: Solve for x
    x = 1,361,542.27/1,031.58
  6. Step 6: Final answer
    x = 1,319.86

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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.