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Finding the Fourth Proportional to 1,172.68, 1,756.86 and 596.20

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Solution

The fourth proportional to 1,172.68, 1,756.86 and 596.20 is: 893.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.68 : 1,756.86 = 596.20 : x
  2. Step 2: Convert to fraction form
    1,172.68/1,756.86 = 596.20/x
  3. Step 3: Cross multiply
    1,172.68x = 1,756.86 × 596.20
  4. Step 4: Simplify right side
    1,172.68x = 1,047,439.93
  5. Step 5: Solve for x
    x = 1,047,439.93/1,172.68
  6. Step 6: Final answer
    x = 893.20

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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.