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Finding the Fourth Proportional to 780.63, 1,170.91 and 293.64

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Solution

The fourth proportional to 780.63, 1,170.91 and 293.64 is: 440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.63 : 1,170.91 = 293.64 : x
  2. Step 2: Convert to fraction form
    780.63/1,170.91 = 293.64/x
  3. Step 3: Cross multiply
    780.63x = 1,170.91 × 293.64
  4. Step 4: Simplify right side
    780.63x = 343,826.01
  5. Step 5: Solve for x
    x = 343,826.01/780.63
  6. Step 6: Final answer
    x = 440.45

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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.