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Finding the Fourth Proportional to 946.08, 1,416.69 and 783.27

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Solution

The fourth proportional to 946.08, 1,416.69 and 783.27 is: 1,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.08 : 1,416.69 = 783.27 : x
  2. Step 2: Convert to fraction form
    946.08/1,416.69 = 783.27/x
  3. Step 3: Cross multiply
    946.08x = 1,416.69 × 783.27
  4. Step 4: Simplify right side
    946.08x = 1,109,650.78
  5. Step 5: Solve for x
    x = 1,109,650.78/946.08
  6. Step 6: Final answer
    x = 1,172.89

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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.