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Finding the Fourth Proportional to 883.76, 1,219.59 and 510.80

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Solution

The fourth proportional to 883.76, 1,219.59 and 510.80 is: 704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.76 : 1,219.59 = 510.80 : x
  2. Step 2: Convert to fraction form
    883.76/1,219.59 = 510.80/x
  3. Step 3: Cross multiply
    883.76x = 1,219.59 × 510.80
  4. Step 4: Simplify right side
    883.76x = 622,960.47
  5. Step 5: Solve for x
    x = 622,960.47/883.76
  6. Step 6: Final answer
    x = 704.90

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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.