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Finding the Fourth Proportional to 816.65, 1,223.14 and 585.80

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Solution

The fourth proportional to 816.65, 1,223.14 and 585.80 is: 877.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.65 : 1,223.14 = 585.80 : x
  2. Step 2: Convert to fraction form
    816.65/1,223.14 = 585.80/x
  3. Step 3: Cross multiply
    816.65x = 1,223.14 × 585.80
  4. Step 4: Simplify right side
    816.65x = 716,515.41
  5. Step 5: Solve for x
    x = 716,515.41/816.65
  6. Step 6: Final answer
    x = 877.38

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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.