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Finding the Fourth Proportional to 1,041.53, 1,563.05 and 768.35

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Solution

The fourth proportional to 1,041.53, 1,563.05 and 768.35 is: 1,153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.53 : 1,563.05 = 768.35 : x
  2. Step 2: Convert to fraction form
    1,041.53/1,563.05 = 768.35/x
  3. Step 3: Cross multiply
    1,041.53x = 1,563.05 × 768.35
  4. Step 4: Simplify right side
    1,041.53x = 1,200,965.63
  5. Step 5: Solve for x
    x = 1,200,965.63/1,041.53
  6. Step 6: Final answer
    x = 1,153.08

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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.