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Finding the Fourth Proportional to 892.51, 1,340.37 and 783.16

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Solution

The fourth proportional to 892.51, 1,340.37 and 783.16 is: 1,176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.51 : 1,340.37 = 783.16 : x
  2. Step 2: Convert to fraction form
    892.51/1,340.37 = 783.16/x
  3. Step 3: Cross multiply
    892.51x = 1,340.37 × 783.16
  4. Step 4: Simplify right side
    892.51x = 1,049,724.17
  5. Step 5: Solve for x
    x = 1,049,724.17/892.51
  6. Step 6: Final answer
    x = 1,176.15

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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.