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Finding the Fourth Proportional to 946.09, 1,416.84 and 704.17

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Solution

The fourth proportional to 946.09, 1,416.84 and 704.17 is: 1,054.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.09 : 1,416.84 = 704.17 : x
  2. Step 2: Convert to fraction form
    946.09/1,416.84 = 704.17/x
  3. Step 3: Cross multiply
    946.09x = 1,416.84 × 704.17
  4. Step 4: Simplify right side
    946.09x = 997,696.22
  5. Step 5: Solve for x
    x = 997,696.22/946.09
  6. Step 6: Final answer
    x = 1,054.55

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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.