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Finding the Fourth Proportional to 883.86, 1,219.90 and 510.78

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Solution

The fourth proportional to 883.86, 1,219.90 and 510.78 is: 704.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.86 : 1,219.90 = 510.78 : x
  2. Step 2: Convert to fraction form
    883.86/1,219.90 = 510.78/x
  3. Step 3: Cross multiply
    883.86x = 1,219.90 × 510.78
  4. Step 4: Simplify right side
    883.86x = 623,104.59
  5. Step 5: Solve for x
    x = 623,104.59/883.86
  6. Step 6: Final answer
    x = 704.98

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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.