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Finding the Fourth Proportional to 1,172.33, 1,758.98 and 513.86

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Solution

The fourth proportional to 1,172.33, 1,758.98 and 513.86 is: 771.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.33 : 1,758.98 = 513.86 : x
  2. Step 2: Convert to fraction form
    1,172.33/1,758.98 = 513.86/x
  3. Step 3: Cross multiply
    1,172.33x = 1,758.98 × 513.86
  4. Step 4: Simplify right side
    1,172.33x = 903,871.29
  5. Step 5: Solve for x
    x = 903,871.29/1,172.33
  6. Step 6: Final answer
    x = 771.01

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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.