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Finding the Fourth Proportional to 946.37, 1,417.47 and 580.05

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Solution

The fourth proportional to 946.37, 1,417.47 and 580.05 is: 868.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.37 : 1,417.47 = 580.05 : x
  2. Step 2: Convert to fraction form
    946.37/1,417.47 = 580.05/x
  3. Step 3: Cross multiply
    946.37x = 1,417.47 × 580.05
  4. Step 4: Simplify right side
    946.37x = 822,201.30
  5. Step 5: Solve for x
    x = 822,201.30/946.37
  6. Step 6: Final answer
    x = 868.79

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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.