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Finding the Fourth Proportional to 1,431.80, 2,148.32 and 701.36

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Solution

The fourth proportional to 1,431.80, 2,148.32 and 701.36 is: 1,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.80 : 2,148.32 = 701.36 : x
  2. Step 2: Convert to fraction form
    1,431.80/2,148.32 = 701.36/x
  3. Step 3: Cross multiply
    1,431.80x = 2,148.32 × 701.36
  4. Step 4: Simplify right side
    1,431.80x = 1,506,745.72
  5. Step 5: Solve for x
    x = 1,506,745.72/1,431.80
  6. Step 6: Final answer
    x = 1,052.34

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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.