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Finding the Fourth Proportional to 695.45, 1,042.28 and 608.58

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Solution

The fourth proportional to 695.45, 1,042.28 and 608.58 is: 912.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.45 : 1,042.28 = 608.58 : x
  2. Step 2: Convert to fraction form
    695.45/1,042.28 = 608.58/x
  3. Step 3: Cross multiply
    695.45x = 1,042.28 × 608.58
  4. Step 4: Simplify right side
    695.45x = 634,310.00
  5. Step 5: Solve for x
    x = 634,310.00/695.45
  6. Step 6: Final answer
    x = 912.08

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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.