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Finding the Fourth Proportional to 1,041.54, 1,563 and 554.94

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Solution

The fourth proportional to 1,041.54, 1,563 and 554.94 is: 832.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.54 : 1,563 = 554.94 : x
  2. Step 2: Convert to fraction form
    1,041.54/1,563 = 554.94/x
  3. Step 3: Cross multiply
    1,041.54x = 1,563 × 554.94
  4. Step 4: Simplify right side
    1,041.54x = 867,371.22
  5. Step 5: Solve for x
    x = 867,371.22/1,041.54
  6. Step 6: Final answer
    x = 832.78

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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.