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Finding the Fourth Proportional to 1,004.78, 1,506.74 and 355.22

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Solution

The fourth proportional to 1,004.78, 1,506.74 and 355.22 is: 532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.78 : 1,506.74 = 355.22 : x
  2. Step 2: Convert to fraction form
    1,004.78/1,506.74 = 355.22/x
  3. Step 3: Cross multiply
    1,004.78x = 1,506.74 × 355.22
  4. Step 4: Simplify right side
    1,004.78x = 535,224.18
  5. Step 5: Solve for x
    x = 535,224.18/1,004.78
  6. Step 6: Final answer
    x = 532.68

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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.