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Finding the Fourth Proportional to 1,002.51, 1,383.14 and 582.77

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Solution

The fourth proportional to 1,002.51, 1,383.14 and 582.77 is: 804.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.51 : 1,383.14 = 582.77 : x
  2. Step 2: Convert to fraction form
    1,002.51/1,383.14 = 582.77/x
  3. Step 3: Cross multiply
    1,002.51x = 1,383.14 × 582.77
  4. Step 4: Simplify right side
    1,002.51x = 806,057.41
  5. Step 5: Solve for x
    x = 806,057.41/1,002.51
  6. Step 6: Final answer
    x = 804.04

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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.