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Finding the Fourth Proportional to 932.03, 1,285.83 and 559.02

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Solution

The fourth proportional to 932.03, 1,285.83 and 559.02 is: 771.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.03 : 1,285.83 = 559.02 : x
  2. Step 2: Convert to fraction form
    932.03/1,285.83 = 559.02/x
  3. Step 3: Cross multiply
    932.03x = 1,285.83 × 559.02
  4. Step 4: Simplify right side
    932.03x = 718,804.69
  5. Step 5: Solve for x
    x = 718,804.69/932.03
  6. Step 6: Final answer
    x = 771.22

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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.