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Finding the Fourth Proportional to 1,506.81, 2,261.43 and 776.60

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Solution

The fourth proportional to 1,506.81, 2,261.43 and 776.60 is: 1,165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.81 : 2,261.43 = 776.60 : x
  2. Step 2: Convert to fraction form
    1,506.81/2,261.43 = 776.60/x
  3. Step 3: Cross multiply
    1,506.81x = 2,261.43 × 776.60
  4. Step 4: Simplify right side
    1,506.81x = 1,756,226.54
  5. Step 5: Solve for x
    x = 1,756,226.54/1,506.81
  6. Step 6: Final answer
    x = 1,165.53

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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.