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Finding the Fourth Proportional to 1,172, 1,758.12 and 594.80

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Solution

The fourth proportional to 1,172, 1,758.12 and 594.80 is: 892.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172 : 1,758.12 = 594.80 : x
  2. Step 2: Convert to fraction form
    1,172/1,758.12 = 594.80/x
  3. Step 3: Cross multiply
    1,172x = 1,758.12 × 594.80
  4. Step 4: Simplify right side
    1,172x = 1,045,729.78
  5. Step 5: Solve for x
    x = 1,045,729.78/1,172
  6. Step 6: Final answer
    x = 892.26

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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.