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Finding the Fourth Proportional to 1,350.63, 2,023.50 and 569.22

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Solution

The fourth proportional to 1,350.63, 2,023.50 and 569.22 is: 852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.63 : 2,023.50 = 569.22 : x
  2. Step 2: Convert to fraction form
    1,350.63/2,023.50 = 569.22/x
  3. Step 3: Cross multiply
    1,350.63x = 2,023.50 × 569.22
  4. Step 4: Simplify right side
    1,350.63x = 1,151,816.67
  5. Step 5: Solve for x
    x = 1,151,816.67/1,350.63
  6. Step 6: Final answer
    x = 852.80

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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.