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Finding the Fourth Proportional to 969.74, 1,455.54 and 354.04

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Solution

The fourth proportional to 969.74, 1,455.54 and 354.04 is: 531.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.74 : 1,455.54 = 354.04 : x
  2. Step 2: Convert to fraction form
    969.74/1,455.54 = 354.04/x
  3. Step 3: Cross multiply
    969.74x = 1,455.54 × 354.04
  4. Step 4: Simplify right side
    969.74x = 515,319.38
  5. Step 5: Solve for x
    x = 515,319.38/969.74
  6. Step 6: Final answer
    x = 531.40

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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.