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Finding the Fourth Proportional to 1,431.90, 1,975.40 and 864.97

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Solution

The fourth proportional to 1,431.90, 1,975.40 and 864.97 is: 1,193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.90 : 1,975.40 = 864.97 : x
  2. Step 2: Convert to fraction form
    1,431.90/1,975.40 = 864.97/x
  3. Step 3: Cross multiply
    1,431.90x = 1,975.40 × 864.97
  4. Step 4: Simplify right side
    1,431.90x = 1,708,661.74
  5. Step 5: Solve for x
    x = 1,708,661.74/1,431.90
  6. Step 6: Final answer
    x = 1,193.28

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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.