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Finding the Fourth Proportional to 1,148.32, 1,722.90 and 454.60

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Solution

The fourth proportional to 1,148.32, 1,722.90 and 454.60 is: 682.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.32 : 1,722.90 = 454.60 : x
  2. Step 2: Convert to fraction form
    1,148.32/1,722.90 = 454.60/x
  3. Step 3: Cross multiply
    1,148.32x = 1,722.90 × 454.60
  4. Step 4: Simplify right side
    1,148.32x = 783,230.34
  5. Step 5: Solve for x
    x = 783,230.34/1,148.32
  6. Step 6: Final answer
    x = 682.07

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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.