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Finding the Fourth Proportional to 985.93, 1,359.32 and 808.24

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Solution

The fourth proportional to 985.93, 1,359.32 and 808.24 is: 1,114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.93 : 1,359.32 = 808.24 : x
  2. Step 2: Convert to fraction form
    985.93/1,359.32 = 808.24/x
  3. Step 3: Cross multiply
    985.93x = 1,359.32 × 808.24
  4. Step 4: Simplify right side
    985.93x = 1,098,656.80
  5. Step 5: Solve for x
    x = 1,098,656.80/985.93
  6. Step 6: Final answer
    x = 1,114.34

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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.