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Finding the Fourth Proportional to 1,043.95, 1,563.80 and 494.46

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Solution

The fourth proportional to 1,043.95, 1,563.80 and 494.46 is: 740.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.95 : 1,563.80 = 494.46 : x
  2. Step 2: Convert to fraction form
    1,043.95/1,563.80 = 494.46/x
  3. Step 3: Cross multiply
    1,043.95x = 1,563.80 × 494.46
  4. Step 4: Simplify right side
    1,043.95x = 773,237.99
  5. Step 5: Solve for x
    x = 773,237.99/1,043.95
  6. Step 6: Final answer
    x = 740.68

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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.