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Finding the Fourth Proportional to 883.56, 1,219.15 and 510.40

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Solution

The fourth proportional to 883.56, 1,219.15 and 510.40 is: 704.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.56 : 1,219.15 = 510.40 : x
  2. Step 2: Convert to fraction form
    883.56/1,219.15 = 510.40/x
  3. Step 3: Cross multiply
    883.56x = 1,219.15 × 510.40
  4. Step 4: Simplify right side
    883.56x = 622,254.16
  5. Step 5: Solve for x
    x = 622,254.16/883.56
  6. Step 6: Final answer
    x = 704.26

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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.