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Finding the Fourth Proportional to 1,030.46, 1,422.28 and 588.61

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Solution

The fourth proportional to 1,030.46, 1,422.28 and 588.61 is: 812.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.46 : 1,422.28 = 588.61 : x
  2. Step 2: Convert to fraction form
    1,030.46/1,422.28 = 588.61/x
  3. Step 3: Cross multiply
    1,030.46x = 1,422.28 × 588.61
  4. Step 4: Simplify right side
    1,030.46x = 837,168.23
  5. Step 5: Solve for x
    x = 837,168.23/1,030.46
  6. Step 6: Final answer
    x = 812.43

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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.