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Finding the Fourth Proportional to 1,004.81, 1,507.21 and 346.58

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Solution

The fourth proportional to 1,004.81, 1,507.21 and 346.58 is: 519.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.81 : 1,507.21 = 346.58 : x
  2. Step 2: Convert to fraction form
    1,004.81/1,507.21 = 346.58/x
  3. Step 3: Cross multiply
    1,004.81x = 1,507.21 × 346.58
  4. Step 4: Simplify right side
    1,004.81x = 522,366.09
  5. Step 5: Solve for x
    x = 522,366.09/1,004.81
  6. Step 6: Final answer
    x = 519.87

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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.