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Finding the Fourth Proportional to 780.93, 1,076.33 and 570.78

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Solution

The fourth proportional to 780.93, 1,076.33 and 570.78 is: 786.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.93 : 1,076.33 = 570.78 : x
  2. Step 2: Convert to fraction form
    780.93/1,076.33 = 570.78/x
  3. Step 3: Cross multiply
    780.93x = 1,076.33 × 570.78
  4. Step 4: Simplify right side
    780.93x = 614,339.40
  5. Step 5: Solve for x
    x = 614,339.40/780.93
  6. Step 6: Final answer
    x = 786.68

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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.