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Finding the Fourth Proportional to 977.51, 1,348.83 and 584.43

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Solution

The fourth proportional to 977.51, 1,348.83 and 584.43 is: 806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.51 : 1,348.83 = 584.43 : x
  2. Step 2: Convert to fraction form
    977.51/1,348.83 = 584.43/x
  3. Step 3: Cross multiply
    977.51x = 1,348.83 × 584.43
  4. Step 4: Simplify right side
    977.51x = 788,296.72
  5. Step 5: Solve for x
    x = 788,296.72/977.51
  6. Step 6: Final answer
    x = 806.44

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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.