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Finding the Fourth Proportional to 695.36, 1,042.32 and 435.26

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Solution

The fourth proportional to 695.36, 1,042.32 and 435.26 is: 652.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.36 : 1,042.32 = 435.26 : x
  2. Step 2: Convert to fraction form
    695.36/1,042.32 = 435.26/x
  3. Step 3: Cross multiply
    695.36x = 1,042.32 × 435.26
  4. Step 4: Simplify right side
    695.36x = 453,680.20
  5. Step 5: Solve for x
    x = 453,680.20/695.36
  6. Step 6: Final answer
    x = 652.44

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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.