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Finding the Fourth Proportional to 882.76, 1,218.69 and 584.02

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Solution

The fourth proportional to 882.76, 1,218.69 and 584.02 is: 806.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.76 : 1,218.69 = 584.02 : x
  2. Step 2: Convert to fraction form
    882.76/1,218.69 = 584.02/x
  3. Step 3: Cross multiply
    882.76x = 1,218.69 × 584.02
  4. Step 4: Simplify right side
    882.76x = 711,739.33
  5. Step 5: Solve for x
    x = 711,739.33/882.76
  6. Step 6: Final answer
    x = 806.27

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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.