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Finding the Fourth Proportional to 780.18, 1,076.46 and 465.54

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Solution

The fourth proportional to 780.18, 1,076.46 and 465.54 is: 642.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.18 : 1,076.46 = 465.54 : x
  2. Step 2: Convert to fraction form
    780.18/1,076.46 = 465.54/x
  3. Step 3: Cross multiply
    780.18x = 1,076.46 × 465.54
  4. Step 4: Simplify right side
    780.18x = 501,135.19
  5. Step 5: Solve for x
    x = 501,135.19/780.18
  6. Step 6: Final answer
    x = 642.33

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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.