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Finding the Fourth Proportional to 1,004.35, 1,507.07 and 639.31

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Solution

The fourth proportional to 1,004.35, 1,507.07 and 639.31 is: 959.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.35 : 1,507.07 = 639.31 : x
  2. Step 2: Convert to fraction form
    1,004.35/1,507.07 = 639.31/x
  3. Step 3: Cross multiply
    1,004.35x = 1,507.07 × 639.31
  4. Step 4: Simplify right side
    1,004.35x = 963,484.92
  5. Step 5: Solve for x
    x = 963,484.92/1,004.35
  6. Step 6: Final answer
    x = 959.31

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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.