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Finding the Fourth Proportional to 1,431, 1,974.81 and 810

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Solution

The fourth proportional to 1,431, 1,974.81 and 810 is: 1,117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431 : 1,974.81 = 810 : x
  2. Step 2: Convert to fraction form
    1,431/1,974.81 = 810/x
  3. Step 3: Cross multiply
    1,431x = 1,974.81 × 810
  4. Step 4: Simplify right side
    1,431x = 1,599,596.10
  5. Step 5: Solve for x
    x = 1,599,596.10/1,431
  6. Step 6: Final answer
    x = 1,117.82

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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.