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Finding the Fourth Proportional to 1,733.47, 2,600.30 and 563.47

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Solution

The fourth proportional to 1,733.47, 2,600.30 and 563.47 is: 845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.47 : 2,600.30 = 563.47 : x
  2. Step 2: Convert to fraction form
    1,733.47/2,600.30 = 563.47/x
  3. Step 3: Cross multiply
    1,733.47x = 2,600.30 × 563.47
  4. Step 4: Simplify right side
    1,733.47x = 1,465,200.58
  5. Step 5: Solve for x
    x = 1,465,200.58/1,733.47
  6. Step 6: Final answer
    x = 845.24

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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.