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Finding the Fourth Proportional to 946.53, 1,416.78 and 771.69

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Solution

The fourth proportional to 946.53, 1,416.78 and 771.69 is: 1,155.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.53 : 1,416.78 = 771.69 : x
  2. Step 2: Convert to fraction form
    946.53/1,416.78 = 771.69/x
  3. Step 3: Cross multiply
    946.53x = 1,416.78 × 771.69
  4. Step 4: Simplify right side
    946.53x = 1,093,314.96
  5. Step 5: Solve for x
    x = 1,093,314.96/946.53
  6. Step 6: Final answer
    x = 1,155.08

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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.