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Finding the Fourth Proportional to 1,031.30, 1,422.99 and 589.17

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Solution

The fourth proportional to 1,031.30, 1,422.99 and 589.17 is: 812.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.30 : 1,422.99 = 589.17 : x
  2. Step 2: Convert to fraction form
    1,031.30/1,422.99 = 589.17/x
  3. Step 3: Cross multiply
    1,031.30x = 1,422.99 × 589.17
  4. Step 4: Simplify right side
    1,031.30x = 838,383.02
  5. Step 5: Solve for x
    x = 838,383.02/1,031.30
  6. Step 6: Final answer
    x = 812.94

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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.