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Finding the Fourth Proportional to 780.41, 1,076.52 and 514.90

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Solution

The fourth proportional to 780.41, 1,076.52 and 514.90 is: 710.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.41 : 1,076.52 = 514.90 : x
  2. Step 2: Convert to fraction form
    780.41/1,076.52 = 514.90/x
  3. Step 3: Cross multiply
    780.41x = 1,076.52 × 514.90
  4. Step 4: Simplify right side
    780.41x = 554,303.42
  5. Step 5: Solve for x
    x = 554,303.42/780.41
  6. Step 6: Final answer
    x = 710.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.