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Finding the Fourth Proportional to 1,004.65, 1,506.82 and 388.27

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Solution

The fourth proportional to 1,004.65, 1,506.82 and 388.27 is: 582.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.65 : 1,506.82 = 388.27 : x
  2. Step 2: Convert to fraction form
    1,004.65/1,506.82 = 388.27/x
  3. Step 3: Cross multiply
    1,004.65x = 1,506.82 × 388.27
  4. Step 4: Simplify right side
    1,004.65x = 585,055.80
  5. Step 5: Solve for x
    x = 585,055.80/1,004.65
  6. Step 6: Final answer
    x = 582.35

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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.