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Finding the Fourth Proportional to 946.36, 1,417.74 and 793.28

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Solution

The fourth proportional to 946.36, 1,417.74 and 793.28 is: 1,188.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.36 : 1,417.74 = 793.28 : x
  2. Step 2: Convert to fraction form
    946.36/1,417.74 = 793.28/x
  3. Step 3: Cross multiply
    946.36x = 1,417.74 × 793.28
  4. Step 4: Simplify right side
    946.36x = 1,124,664.79
  5. Step 5: Solve for x
    x = 1,124,664.79/946.36
  6. Step 6: Final answer
    x = 1,188.41

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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.