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Finding the Fourth Proportional to 977.54, 1,466.33 and 247.13

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Solution

The fourth proportional to 977.54, 1,466.33 and 247.13 is: 370.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.54 : 1,466.33 = 247.13 : x
  2. Step 2: Convert to fraction form
    977.54/1,466.33 = 247.13/x
  3. Step 3: Cross multiply
    977.54x = 1,466.33 × 247.13
  4. Step 4: Simplify right side
    977.54x = 362,367.64
  5. Step 5: Solve for x
    x = 362,367.64/977.54
  6. Step 6: Final answer
    x = 370.69

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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.