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Finding the Fourth Proportional to 855.02, 1,281.63 and 438.83

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Solution

The fourth proportional to 855.02, 1,281.63 and 438.83 is: 657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.02 : 1,281.63 = 438.83 : x
  2. Step 2: Convert to fraction form
    855.02/1,281.63 = 438.83/x
  3. Step 3: Cross multiply
    855.02x = 1,281.63 × 438.83
  4. Step 4: Simplify right side
    855.02x = 562,411.28
  5. Step 5: Solve for x
    x = 562,411.28/855.02
  6. Step 6: Final answer
    x = 657.78

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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.