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Finding the Fourth Proportional to 946.85, 1,417.60 and 638.09

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Solution

The fourth proportional to 946.85, 1,417.60 and 638.09 is: 955.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.85 : 1,417.60 = 638.09 : x
  2. Step 2: Convert to fraction form
    946.85/1,417.60 = 638.09/x
  3. Step 3: Cross multiply
    946.85x = 1,417.60 × 638.09
  4. Step 4: Simplify right side
    946.85x = 904,556.38
  5. Step 5: Solve for x
    x = 904,556.38/946.85
  6. Step 6: Final answer
    x = 955.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.