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Finding the Fourth Proportional to 848.94, 1,272.87 and 458.48

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Solution

The fourth proportional to 848.94, 1,272.87 and 458.48 is: 687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.94 : 1,272.87 = 458.48 : x
  2. Step 2: Convert to fraction form
    848.94/1,272.87 = 458.48/x
  3. Step 3: Cross multiply
    848.94x = 1,272.87 × 458.48
  4. Step 4: Simplify right side
    848.94x = 583,579.07
  5. Step 5: Solve for x
    x = 583,579.07/848.94
  6. Step 6: Final answer
    x = 687.42

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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.