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Finding the Fourth Proportional to 946.13, 1,416.46 and 599.85

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Solution

The fourth proportional to 946.13, 1,416.46 and 599.85 is: 898.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.13 : 1,416.46 = 599.85 : x
  2. Step 2: Convert to fraction form
    946.13/1,416.46 = 599.85/x
  3. Step 3: Cross multiply
    946.13x = 1,416.46 × 599.85
  4. Step 4: Simplify right side
    946.13x = 849,665.57
  5. Step 5: Solve for x
    x = 849,665.57/946.13
  6. Step 6: Final answer
    x = 898.05

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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.