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Finding the Fourth Proportional to 873.48, 1,309.41 and 564.60

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Solution

The fourth proportional to 873.48, 1,309.41 and 564.60 is: 846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.48 : 1,309.41 = 564.60 : x
  2. Step 2: Convert to fraction form
    873.48/1,309.41 = 564.60/x
  3. Step 3: Cross multiply
    873.48x = 1,309.41 × 564.60
  4. Step 4: Simplify right side
    873.48x = 739,292.89
  5. Step 5: Solve for x
    x = 739,292.89/873.48
  6. Step 6: Final answer
    x = 846.38

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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.