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Finding the Fourth Proportional to 687.83, 948.69 and 438.89

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Solution

The fourth proportional to 687.83, 948.69 and 438.89 is: 605.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.83 : 948.69 = 438.89 : x
  2. Step 2: Convert to fraction form
    687.83/948.69 = 438.89/x
  3. Step 3: Cross multiply
    687.83x = 948.69 × 438.89
  4. Step 4: Simplify right side
    687.83x = 416,365.81
  5. Step 5: Solve for x
    x = 416,365.81/687.83
  6. Step 6: Final answer
    x = 605.34

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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.