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Finding the Fourth Proportional to 1,008.63, 1,391.83 and 588.93

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Solution

The fourth proportional to 1,008.63, 1,391.83 and 588.93 is: 812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.63 : 1,391.83 = 588.93 : x
  2. Step 2: Convert to fraction form
    1,008.63/1,391.83 = 588.93/x
  3. Step 3: Cross multiply
    1,008.63x = 1,391.83 × 588.93
  4. Step 4: Simplify right side
    1,008.63x = 819,690.44
  5. Step 5: Solve for x
    x = 819,690.44/1,008.63
  6. Step 6: Final answer
    x = 812.68

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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.