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Finding the Fourth Proportional to 1,537.58, 2,305.01 and 563.46

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Solution

The fourth proportional to 1,537.58, 2,305.01 and 563.46 is: 844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.58 : 2,305.01 = 563.46 : x
  2. Step 2: Convert to fraction form
    1,537.58/2,305.01 = 563.46/x
  3. Step 3: Cross multiply
    1,537.58x = 2,305.01 × 563.46
  4. Step 4: Simplify right side
    1,537.58x = 1,298,766.59
  5. Step 5: Solve for x
    x = 1,298,766.59/1,537.58
  6. Step 6: Final answer
    x = 844.68

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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.