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Finding the Fourth Proportional to 1,030.66, 1,422.16 and 588.40

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Solution

The fourth proportional to 1,030.66, 1,422.16 and 588.40 is: 811.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.66 : 1,422.16 = 588.40 : x
  2. Step 2: Convert to fraction form
    1,030.66/1,422.16 = 588.40/x
  3. Step 3: Cross multiply
    1,030.66x = 1,422.16 × 588.40
  4. Step 4: Simplify right side
    1,030.66x = 836,793.92
  5. Step 5: Solve for x
    x = 836,793.92/1,030.66
  6. Step 6: Final answer
    x = 811.90

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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.