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Finding the Fourth Proportional to 946.46, 1,305.85 and 597.15

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Solution

The fourth proportional to 946.46, 1,305.85 and 597.15 is: 823.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.46 : 1,305.85 = 597.15 : x
  2. Step 2: Convert to fraction form
    946.46/1,305.85 = 597.15/x
  3. Step 3: Cross multiply
    946.46x = 1,305.85 × 597.15
  4. Step 4: Simplify right side
    946.46x = 779,788.33
  5. Step 5: Solve for x
    x = 779,788.33/946.46
  6. Step 6: Final answer
    x = 823.90

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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.