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Finding the Fourth Proportional to 695.66, 1,044.86 and 436.12

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Solution

The fourth proportional to 695.66, 1,044.86 and 436.12 is: 655.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.66 : 1,044.86 = 436.12 : x
  2. Step 2: Convert to fraction form
    695.66/1,044.86 = 436.12/x
  3. Step 3: Cross multiply
    695.66x = 1,044.86 × 436.12
  4. Step 4: Simplify right side
    695.66x = 455,684.34
  5. Step 5: Solve for x
    x = 455,684.34/695.66
  6. Step 6: Final answer
    x = 655.04

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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.