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Finding the Fourth Proportional to 934.13, 1,289.14 and 580.25

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Solution

The fourth proportional to 934.13, 1,289.14 and 580.25 is: 800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.13 : 1,289.14 = 580.25 : x
  2. Step 2: Convert to fraction form
    934.13/1,289.14 = 580.25/x
  3. Step 3: Cross multiply
    934.13x = 1,289.14 × 580.25
  4. Step 4: Simplify right side
    934.13x = 748,021.23
  5. Step 5: Solve for x
    x = 748,021.23/934.13
  6. Step 6: Final answer
    x = 800.77

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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.