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Finding the Fourth Proportional to 780.10, 1,170.54 and 293.26

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Solution

The fourth proportional to 780.10, 1,170.54 and 293.26 is: 440.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.10 : 1,170.54 = 293.26 : x
  2. Step 2: Convert to fraction form
    780.10/1,170.54 = 293.26/x
  3. Step 3: Cross multiply
    780.10x = 1,170.54 × 293.26
  4. Step 4: Simplify right side
    780.10x = 343,272.56
  5. Step 5: Solve for x
    x = 343,272.56/780.10
  6. Step 6: Final answer
    x = 440.04

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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.