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Finding the Fourth Proportional to 934.29, 1,289.06 and 580.04

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Solution

The fourth proportional to 934.29, 1,289.06 and 580.04 is: 800.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.29 : 1,289.06 = 580.04 : x
  2. Step 2: Convert to fraction form
    934.29/1,289.06 = 580.04/x
  3. Step 3: Cross multiply
    934.29x = 1,289.06 × 580.04
  4. Step 4: Simplify right side
    934.29x = 747,706.36
  5. Step 5: Solve for x
    x = 747,706.36/934.29
  6. Step 6: Final answer
    x = 800.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.