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Finding the Fourth Proportional to 977.48, 1,348.89 and 584.30

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Solution

The fourth proportional to 977.48, 1,348.89 and 584.30 is: 806.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.48 : 1,348.89 = 584.30 : x
  2. Step 2: Convert to fraction form
    977.48/1,348.89 = 584.30/x
  3. Step 3: Cross multiply
    977.48x = 1,348.89 × 584.30
  4. Step 4: Simplify right side
    977.48x = 788,156.43
  5. Step 5: Solve for x
    x = 788,156.43/977.48
  6. Step 6: Final answer
    x = 806.31

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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.