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Finding the Fourth Proportional to 1,801.02, 2,701.52 and 568.52

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Solution

The fourth proportional to 1,801.02, 2,701.52 and 568.52 is: 852.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.02 : 2,701.52 = 568.52 : x
  2. Step 2: Convert to fraction form
    1,801.02/2,701.52 = 568.52/x
  3. Step 3: Cross multiply
    1,801.02x = 2,701.52 × 568.52
  4. Step 4: Simplify right side
    1,801.02x = 1,535,868.15
  5. Step 5: Solve for x
    x = 1,535,868.15/1,801.02
  6. Step 6: Final answer
    x = 852.78

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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.