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Finding the Fourth Proportional to 1,351.28, 1,864.34 and 761.70

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Solution

The fourth proportional to 1,351.28, 1,864.34 and 761.70 is: 1,050.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.28 : 1,864.34 = 761.70 : x
  2. Step 2: Convert to fraction form
    1,351.28/1,864.34 = 761.70/x
  3. Step 3: Cross multiply
    1,351.28x = 1,864.34 × 761.70
  4. Step 4: Simplify right side
    1,351.28x = 1,420,075.96
  5. Step 5: Solve for x
    x = 1,420,075.96/1,351.28
  6. Step 6: Final answer
    x = 1,050.91

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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.