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Finding the Fourth Proportional to 1,522.55, 2,279.70 and 790.65

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Solution

The fourth proportional to 1,522.55, 2,279.70 and 790.65 is: 1,183.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.55 : 2,279.70 = 790.65 : x
  2. Step 2: Convert to fraction form
    1,522.55/2,279.70 = 790.65/x
  3. Step 3: Cross multiply
    1,522.55x = 2,279.70 × 790.65
  4. Step 4: Simplify right side
    1,522.55x = 1,802,444.81
  5. Step 5: Solve for x
    x = 1,802,444.81/1,522.55
  6. Step 6: Final answer
    x = 1,183.84

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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.