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Finding the Fourth Proportional to 954.45, 1,421.08 and 949.05

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Solution

The fourth proportional to 954.45, 1,421.08 and 949.05 is: 1,413.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.45 : 1,421.08 = 949.05 : x
  2. Step 2: Convert to fraction form
    954.45/1,421.08 = 949.05/x
  3. Step 3: Cross multiply
    954.45x = 1,421.08 × 949.05
  4. Step 4: Simplify right side
    954.45x = 1,348,673.60
  5. Step 5: Solve for x
    x = 1,348,673.60/954.45
  6. Step 6: Final answer
    x = 1,413.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.