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Finding the Fourth Proportional to 805.59, 1,111.34 and 584.06

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Solution

The fourth proportional to 805.59, 1,111.34 and 584.06 is: 805.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.59 : 1,111.34 = 584.06 : x
  2. Step 2: Convert to fraction form
    805.59/1,111.34 = 584.06/x
  3. Step 3: Cross multiply
    805.59x = 1,111.34 × 584.06
  4. Step 4: Simplify right side
    805.59x = 649,080.76
  5. Step 5: Solve for x
    x = 649,080.76/805.59
  6. Step 6: Final answer
    x = 805.72

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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.