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Finding the Fourth Proportional to 935.13, 1,289.98 and 580.94

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Solution

The fourth proportional to 935.13, 1,289.98 and 580.94 is: 801.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.13 : 1,289.98 = 580.94 : x
  2. Step 2: Convert to fraction form
    935.13/1,289.98 = 580.94/x
  3. Step 3: Cross multiply
    935.13x = 1,289.98 × 580.94
  4. Step 4: Simplify right side
    935.13x = 749,400.98
  5. Step 5: Solve for x
    x = 749,400.98/935.13
  6. Step 6: Final answer
    x = 801.39

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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.