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Finding the Fourth Proportional to 789.15, 1,089.04 and 435.09

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Solution

The fourth proportional to 789.15, 1,089.04 and 435.09 is: 600.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.15 : 1,089.04 = 435.09 : x
  2. Step 2: Convert to fraction form
    789.15/1,089.04 = 435.09/x
  3. Step 3: Cross multiply
    789.15x = 1,089.04 × 435.09
  4. Step 4: Simplify right side
    789.15x = 473,828.41
  5. Step 5: Solve for x
    x = 473,828.41/789.15
  6. Step 6: Final answer
    x = 600.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.