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Finding the Fourth Proportional to 873.66, 1,206.62 and 580.22

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Solution

The fourth proportional to 873.66, 1,206.62 and 580.22 is: 801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.66 : 1,206.62 = 580.22 : x
  2. Step 2: Convert to fraction form
    873.66/1,206.62 = 580.22/x
  3. Step 3: Cross multiply
    873.66x = 1,206.62 × 580.22
  4. Step 4: Simplify right side
    873.66x = 700,105.06
  5. Step 5: Solve for x
    x = 700,105.06/873.66
  6. Step 6: Final answer
    x = 801.35

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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.