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Finding the Fourth Proportional to 780.41, 1,076.63 and 514.51

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Solution

The fourth proportional to 780.41, 1,076.63 and 514.51 is: 709.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.41 : 1,076.63 = 514.51 : x
  2. Step 2: Convert to fraction form
    780.41/1,076.63 = 514.51/x
  3. Step 3: Cross multiply
    780.41x = 1,076.63 × 514.51
  4. Step 4: Simplify right side
    780.41x = 553,937.60
  5. Step 5: Solve for x
    x = 553,937.60/780.41
  6. Step 6: Final answer
    x = 709.80

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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.