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Finding the Fourth Proportional to 816.20, 1,223.59 and 585.35

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Solution

The fourth proportional to 816.20, 1,223.59 and 585.35 is: 877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.20 : 1,223.59 = 585.35 : x
  2. Step 2: Convert to fraction form
    816.20/1,223.59 = 585.35/x
  3. Step 3: Cross multiply
    816.20x = 1,223.59 × 585.35
  4. Step 4: Simplify right side
    816.20x = 716,228.41
  5. Step 5: Solve for x
    x = 716,228.41/816.20
  6. Step 6: Final answer
    x = 877.52

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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.