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Finding the Fourth Proportional to 1,077.04, 1,615.92 and 730.72

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Solution

The fourth proportional to 1,077.04, 1,615.92 and 730.72 is: 1,096.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.04 : 1,615.92 = 730.72 : x
  2. Step 2: Convert to fraction form
    1,077.04/1,615.92 = 730.72/x
  3. Step 3: Cross multiply
    1,077.04x = 1,615.92 × 730.72
  4. Step 4: Simplify right side
    1,077.04x = 1,180,785.06
  5. Step 5: Solve for x
    x = 1,180,785.06/1,077.04
  6. Step 6: Final answer
    x = 1,096.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.