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Finding the Fourth Proportional to 1,004.91, 1,507.41 and 355.74

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Solution

The fourth proportional to 1,004.91, 1,507.41 and 355.74 is: 533.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.91 : 1,507.41 = 355.74 : x
  2. Step 2: Convert to fraction form
    1,004.91/1,507.41 = 355.74/x
  3. Step 3: Cross multiply
    1,004.91x = 1,507.41 × 355.74
  4. Step 4: Simplify right side
    1,004.91x = 536,246.03
  5. Step 5: Solve for x
    x = 536,246.03/1,004.91
  6. Step 6: Final answer
    x = 533.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.