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Finding the Fourth Proportional to 977.58, 1,349.49 and 584.53

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Solution

The fourth proportional to 977.58, 1,349.49 and 584.53 is: 806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.58 : 1,349.49 = 584.53 : x
  2. Step 2: Convert to fraction form
    977.58/1,349.49 = 584.53/x
  3. Step 3: Cross multiply
    977.58x = 1,349.49 × 584.53
  4. Step 4: Simplify right side
    977.58x = 788,819.08
  5. Step 5: Solve for x
    x = 788,819.08/977.58
  6. Step 6: Final answer
    x = 806.91

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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.