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Finding the Fourth Proportional to 1,351.14, 1,864.65 and 761.86

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Solution

The fourth proportional to 1,351.14, 1,864.65 and 761.86 is: 1,051.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.14 : 1,864.65 = 761.86 : x
  2. Step 2: Convert to fraction form
    1,351.14/1,864.65 = 761.86/x
  3. Step 3: Cross multiply
    1,351.14x = 1,864.65 × 761.86
  4. Step 4: Simplify right side
    1,351.14x = 1,420,602.25
  5. Step 5: Solve for x
    x = 1,420,602.25/1,351.14
  6. Step 6: Final answer
    x = 1,051.41

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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.