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Finding the Fourth Proportional to 780.17, 1,076.49 and 469.69

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Solution

The fourth proportional to 780.17, 1,076.49 and 469.69 is: 648.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.17 : 1,076.49 = 469.69 : x
  2. Step 2: Convert to fraction form
    780.17/1,076.49 = 469.69/x
  3. Step 3: Cross multiply
    780.17x = 1,076.49 × 469.69
  4. Step 4: Simplify right side
    780.17x = 505,614.24
  5. Step 5: Solve for x
    x = 505,614.24/780.17
  6. Step 6: Final answer
    x = 648.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.