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Finding the Fourth Proportional to 1,537.84, 2,305.86 and 563.50

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Solution

The fourth proportional to 1,537.84, 2,305.86 and 563.50 is: 844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.84 : 2,305.86 = 563.50 : x
  2. Step 2: Convert to fraction form
    1,537.84/2,305.86 = 563.50/x
  3. Step 3: Cross multiply
    1,537.84x = 2,305.86 × 563.50
  4. Step 4: Simplify right side
    1,537.84x = 1,299,352.11
  5. Step 5: Solve for x
    x = 1,299,352.11/1,537.84
  6. Step 6: Final answer
    x = 844.92

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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.