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Finding the Fourth Proportional to 1,289.98, 1,780.14 and 766

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Solution

The fourth proportional to 1,289.98, 1,780.14 and 766 is: 1,057.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.98 : 1,780.14 = 766 : x
  2. Step 2: Convert to fraction form
    1,289.98/1,780.14 = 766/x
  3. Step 3: Cross multiply
    1,289.98x = 1,780.14 × 766
  4. Step 4: Simplify right side
    1,289.98x = 1,363,587.24
  5. Step 5: Solve for x
    x = 1,363,587.24/1,289.98
  6. Step 6: Final answer
    x = 1,057.06

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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.