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Finding the Fourth Proportional to 780, 1,076.16 and 514.86

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Solution

The fourth proportional to 780, 1,076.16 and 514.86 is: 710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    780 : 1,076.16 = 514.86 : x
  2. Step 2: Convert to fraction form
    780/1,076.16 = 514.86/x
  3. Step 3: Cross multiply
    780x = 1,076.16 × 514.86
  4. Step 4: Simplify right side
    780x = 554,071.74
  5. Step 5: Solve for x
    x = 554,071.74/780
  6. Step 6: Final answer
    x = 710.35

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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.