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Finding the Fourth Proportional to 805.39, 1,111.06 and 584.26

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Solution

The fourth proportional to 805.39, 1,111.06 and 584.26 is: 806.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.39 : 1,111.06 = 584.26 : x
  2. Step 2: Convert to fraction form
    805.39/1,111.06 = 584.26/x
  3. Step 3: Cross multiply
    805.39x = 1,111.06 × 584.26
  4. Step 4: Simplify right side
    805.39x = 649,146.45
  5. Step 5: Solve for x
    x = 649,146.45/805.39
  6. Step 6: Final answer
    x = 806.00

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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.