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Finding the Fourth Proportional to 1,505.97, 2,260.34 and 766.10

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Solution

The fourth proportional to 1,505.97, 2,260.34 and 766.10 is: 1,149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.97 : 2,260.34 = 766.10 : x
  2. Step 2: Convert to fraction form
    1,505.97/2,260.34 = 766.10/x
  3. Step 3: Cross multiply
    1,505.97x = 2,260.34 × 766.10
  4. Step 4: Simplify right side
    1,505.97x = 1,731,631.34
  5. Step 5: Solve for x
    x = 1,731,631.34/1,505.97
  6. Step 6: Final answer
    x = 1,149.84

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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.