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Finding the Fourth Proportional to 804.22, 1,205.14 and 585.26

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Solution

The fourth proportional to 804.22, 1,205.14 and 585.26 is: 877.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.22 : 1,205.14 = 585.26 : x
  2. Step 2: Convert to fraction form
    804.22/1,205.14 = 585.26/x
  3. Step 3: Cross multiply
    804.22x = 1,205.14 × 585.26
  4. Step 4: Simplify right side
    804.22x = 705,320.24
  5. Step 5: Solve for x
    x = 705,320.24/804.22
  6. Step 6: Final answer
    x = 877.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.