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Finding the Fourth Proportional to 1,031.16, 1,422.69 and 611.58

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Solution

The fourth proportional to 1,031.16, 1,422.69 and 611.58 is: 843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.16 : 1,422.69 = 611.58 : x
  2. Step 2: Convert to fraction form
    1,031.16/1,422.69 = 611.58/x
  3. Step 3: Cross multiply
    1,031.16x = 1,422.69 × 611.58
  4. Step 4: Simplify right side
    1,031.16x = 870,088.75
  5. Step 5: Solve for x
    x = 870,088.75/1,031.16
  6. Step 6: Final answer
    x = 843.80

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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.