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Finding the Fourth Proportional to 946.06, 1,416.93 and 580.30

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Solution

The fourth proportional to 946.06, 1,416.93 and 580.30 is: 869.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.06 : 1,416.93 = 580.30 : x
  2. Step 2: Convert to fraction form
    946.06/1,416.93 = 580.30/x
  3. Step 3: Cross multiply
    946.06x = 1,416.93 × 580.30
  4. Step 4: Simplify right side
    946.06x = 822,244.48
  5. Step 5: Solve for x
    x = 822,244.48/946.06
  6. Step 6: Final answer
    x = 869.13

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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.