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Finding the Fourth Proportional to 1,031.32, 1,422.32 and 1,026.12

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Solution

The fourth proportional to 1,031.32, 1,422.32 and 1,026.12 is: 1,415.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.32 : 1,422.32 = 1,026.12 : x
  2. Step 2: Convert to fraction form
    1,031.32/1,422.32 = 1,026.12/x
  3. Step 3: Cross multiply
    1,031.32x = 1,422.32 × 1,026.12
  4. Step 4: Simplify right side
    1,031.32x = 1,459,471.00
  5. Step 5: Solve for x
    x = 1,459,471.00/1,031.32
  6. Step 6: Final answer
    x = 1,415.15

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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.