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Finding the Fourth Proportional to 883.82, 1,219.55 and 510.71

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Solution

The fourth proportional to 883.82, 1,219.55 and 510.71 is: 704.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.82 : 1,219.55 = 510.71 : x
  2. Step 2: Convert to fraction form
    883.82/1,219.55 = 510.71/x
  3. Step 3: Cross multiply
    883.82x = 1,219.55 × 510.71
  4. Step 4: Simplify right side
    883.82x = 622,827.73
  5. Step 5: Solve for x
    x = 622,827.73/883.82
  6. Step 6: Final answer
    x = 704.70

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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.