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Finding the Fourth Proportional to 780.07, 1,076.48 and 514.19

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Solution

The fourth proportional to 780.07, 1,076.48 and 514.19 is: 709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.07 : 1,076.48 = 514.19 : x
  2. Step 2: Convert to fraction form
    780.07/1,076.48 = 514.19/x
  3. Step 3: Cross multiply
    780.07x = 1,076.48 × 514.19
  4. Step 4: Simplify right side
    780.07x = 553,513.97
  5. Step 5: Solve for x
    x = 553,513.97/780.07
  6. Step 6: Final answer
    x = 709.57

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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.