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Finding the Fourth Proportional to 984.86, 1,477.34 and 573.77

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Solution

The fourth proportional to 984.86, 1,477.34 and 573.77 is: 860.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.86 : 1,477.34 = 573.77 : x
  2. Step 2: Convert to fraction form
    984.86/1,477.34 = 573.77/x
  3. Step 3: Cross multiply
    984.86x = 1,477.34 × 573.77
  4. Step 4: Simplify right side
    984.86x = 847,643.12
  5. Step 5: Solve for x
    x = 847,643.12/984.86
  6. Step 6: Final answer
    x = 860.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.