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Finding the Fourth Proportional to 801.83, 1,106.64 and 580.70

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Solution

The fourth proportional to 801.83, 1,106.64 and 580.70 is: 801.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.83 : 1,106.64 = 580.70 : x
  2. Step 2: Convert to fraction form
    801.83/1,106.64 = 580.70/x
  3. Step 3: Cross multiply
    801.83x = 1,106.64 × 580.70
  4. Step 4: Simplify right side
    801.83x = 642,625.85
  5. Step 5: Solve for x
    x = 642,625.85/801.83
  6. Step 6: Final answer
    x = 801.45

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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.