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Finding the Fourth Proportional to 846.66, 1,268.73 and 435.24

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Solution

The fourth proportional to 846.66, 1,268.73 and 435.24 is: 652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.66 : 1,268.73 = 435.24 : x
  2. Step 2: Convert to fraction form
    846.66/1,268.73 = 435.24/x
  3. Step 3: Cross multiply
    846.66x = 1,268.73 × 435.24
  4. Step 4: Simplify right side
    846.66x = 552,202.05
  5. Step 5: Solve for x
    x = 552,202.05/846.66
  6. Step 6: Final answer
    x = 652.21

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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.