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Finding the Fourth Proportional to 1,505.81, 2,259.63 and 640.13

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Solution

The fourth proportional to 1,505.81, 2,259.63 and 640.13 is: 960.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.81 : 2,259.63 = 640.13 : x
  2. Step 2: Convert to fraction form
    1,505.81/2,259.63 = 640.13/x
  3. Step 3: Cross multiply
    1,505.81x = 2,259.63 × 640.13
  4. Step 4: Simplify right side
    1,505.81x = 1,446,445.65
  5. Step 5: Solve for x
    x = 1,446,445.65/1,505.81
  6. Step 6: Final answer
    x = 960.57

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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.