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Finding the Fourth Proportional to 695.08, 1,040.46 and 438.04

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Solution

The fourth proportional to 695.08, 1,040.46 and 438.04 is: 655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.08 : 1,040.46 = 438.04 : x
  2. Step 2: Convert to fraction form
    695.08/1,040.46 = 438.04/x
  3. Step 3: Cross multiply
    695.08x = 1,040.46 × 438.04
  4. Step 4: Simplify right side
    695.08x = 455,763.10
  5. Step 5: Solve for x
    x = 455,763.10/695.08
  6. Step 6: Final answer
    x = 655.70

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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.