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Finding the Fourth Proportional to 805.48, 1,201.64 and 783.16

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Solution

The fourth proportional to 805.48, 1,201.64 and 783.16 is: 1,168.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.48 : 1,201.64 = 783.16 : x
  2. Step 2: Convert to fraction form
    805.48/1,201.64 = 783.16/x
  3. Step 3: Cross multiply
    805.48x = 1,201.64 × 783.16
  4. Step 4: Simplify right side
    805.48x = 941,076.38
  5. Step 5: Solve for x
    x = 941,076.38/805.48
  6. Step 6: Final answer
    x = 1,168.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.