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Finding the Fourth Proportional to 946.82, 1,427.24 and 785.54

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Solution

The fourth proportional to 946.82, 1,427.24 and 785.54 is: 1,184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.82 : 1,427.24 = 785.54 : x
  2. Step 2: Convert to fraction form
    946.82/1,427.24 = 785.54/x
  3. Step 3: Cross multiply
    946.82x = 1,427.24 × 785.54
  4. Step 4: Simplify right side
    946.82x = 1,121,159.64
  5. Step 5: Solve for x
    x = 1,121,159.64/946.82
  6. Step 6: Final answer
    x = 1,184.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.