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Finding the Fourth Proportional to 1,431, 1,975.14 and 810.36

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Solution

The fourth proportional to 1,431, 1,975.14 and 810.36 is: 1,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431 : 1,975.14 = 810.36 : x
  2. Step 2: Convert to fraction form
    1,431/1,975.14 = 810.36/x
  3. Step 3: Cross multiply
    1,431x = 1,975.14 × 810.36
  4. Step 4: Simplify right side
    1,431x = 1,600,574.45
  5. Step 5: Solve for x
    x = 1,600,574.45/1,431
  6. Step 6: Final answer
    x = 1,118.50

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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.