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Finding the Fourth Proportional to 985.91, 1,477.85 and 369.32

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Solution

The fourth proportional to 985.91, 1,477.85 and 369.32 is: 553.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.91 : 1,477.85 = 369.32 : x
  2. Step 2: Convert to fraction form
    985.91/1,477.85 = 369.32/x
  3. Step 3: Cross multiply
    985.91x = 1,477.85 × 369.32
  4. Step 4: Simplify right side
    985.91x = 545,790.33
  5. Step 5: Solve for x
    x = 545,790.33/985.91
  6. Step 6: Final answer
    x = 553.59

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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.