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Finding the Fourth Proportional to 1,172.58, 1,756.76 and 1,103.18

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Solution

The fourth proportional to 1,172.58, 1,756.76 and 1,103.18 is: 1,652.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.58 : 1,756.76 = 1,103.18 : x
  2. Step 2: Convert to fraction form
    1,172.58/1,756.76 = 1,103.18/x
  3. Step 3: Cross multiply
    1,172.58x = 1,756.76 × 1,103.18
  4. Step 4: Simplify right side
    1,172.58x = 1,938,022.50
  5. Step 5: Solve for x
    x = 1,938,022.50/1,172.58
  6. Step 6: Final answer
    x = 1,652.78

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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.