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Finding the Fourth Proportional to 883.34, 1,219.16 and 510.33

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Solution

The fourth proportional to 883.34, 1,219.16 and 510.33 is: 704.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.34 : 1,219.16 = 510.33 : x
  2. Step 2: Convert to fraction form
    883.34/1,219.16 = 510.33/x
  3. Step 3: Cross multiply
    883.34x = 1,219.16 × 510.33
  4. Step 4: Simplify right side
    883.34x = 622,173.92
  5. Step 5: Solve for x
    x = 622,173.92/883.34
  6. Step 6: Final answer
    x = 704.34

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1.5x scale

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.