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Finding the Fourth Proportional to 1,077.37, 1,615.95 and 297.43

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Solution

The fourth proportional to 1,077.37, 1,615.95 and 297.43 is: 446.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.37 : 1,615.95 = 297.43 : x
  2. Step 2: Convert to fraction form
    1,077.37/1,615.95 = 297.43/x
  3. Step 3: Cross multiply
    1,077.37x = 1,615.95 × 297.43
  4. Step 4: Simplify right side
    1,077.37x = 480,632.01
  5. Step 5: Solve for x
    x = 480,632.01/1,077.37
  6. Step 6: Final answer
    x = 446.12

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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.