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Finding the Fourth Proportional to 977.99, 1,350.05 and 584.94

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Solution

The fourth proportional to 977.99, 1,350.05 and 584.94 is: 807.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.99 : 1,350.05 = 584.94 : x
  2. Step 2: Convert to fraction form
    977.99/1,350.05 = 584.94/x
  3. Step 3: Cross multiply
    977.99x = 1,350.05 × 584.94
  4. Step 4: Simplify right side
    977.99x = 789,698.25
  5. Step 5: Solve for x
    x = 789,698.25/977.99
  6. Step 6: Final answer
    x = 807.47

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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.