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Finding the Fourth Proportional to 1,009.65, 1,515.44 and 523.05

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Solution

The fourth proportional to 1,009.65, 1,515.44 and 523.05 is: 785.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.65 : 1,515.44 = 523.05 : x
  2. Step 2: Convert to fraction form
    1,009.65/1,515.44 = 523.05/x
  3. Step 3: Cross multiply
    1,009.65x = 1,515.44 × 523.05
  4. Step 4: Simplify right side
    1,009.65x = 792,648.28
  5. Step 5: Solve for x
    x = 792,648.28/1,009.65
  6. Step 6: Final answer
    x = 785.07

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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.