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Finding the Fourth Proportional to 801.95, 1,203.35 and 569.19

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Solution

The fourth proportional to 801.95, 1,203.35 and 569.19 is: 854.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.95 : 1,203.35 = 569.19 : x
  2. Step 2: Convert to fraction form
    801.95/1,203.35 = 569.19/x
  3. Step 3: Cross multiply
    801.95x = 1,203.35 × 569.19
  4. Step 4: Simplify right side
    801.95x = 684,940.72
  5. Step 5: Solve for x
    x = 684,940.72/801.95
  6. Step 6: Final answer
    x = 854.09

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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.