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Finding the Fourth Proportional to 1,537.61, 2,305.01 and 563.48

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Solution

The fourth proportional to 1,537.61, 2,305.01 and 563.48 is: 844.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.61 : 2,305.01 = 563.48 : x
  2. Step 2: Convert to fraction form
    1,537.61/2,305.01 = 563.48/x
  3. Step 3: Cross multiply
    1,537.61x = 2,305.01 × 563.48
  4. Step 4: Simplify right side
    1,537.61x = 1,298,812.69
  5. Step 5: Solve for x
    x = 1,298,812.69/1,537.61
  6. Step 6: Final answer
    x = 844.70

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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.