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Finding the Fourth Proportional to 695.65, 1,042.69 and 305.53

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Solution

The fourth proportional to 695.65, 1,042.69 and 305.53 is: 457.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.65 : 1,042.69 = 305.53 : x
  2. Step 2: Convert to fraction form
    695.65/1,042.69 = 305.53/x
  3. Step 3: Cross multiply
    695.65x = 1,042.69 × 305.53
  4. Step 4: Simplify right side
    695.65x = 318,573.08
  5. Step 5: Solve for x
    x = 318,573.08/695.65
  6. Step 6: Final answer
    x = 457.95

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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.