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Finding the Fourth Proportional to 848.26, 1,271.98 and 457.84

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Solution

The fourth proportional to 848.26, 1,271.98 and 457.84 is: 686.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.26 : 1,271.98 = 457.84 : x
  2. Step 2: Convert to fraction form
    848.26/1,271.98 = 457.84/x
  3. Step 3: Cross multiply
    848.26x = 1,271.98 × 457.84
  4. Step 4: Simplify right side
    848.26x = 582,363.32
  5. Step 5: Solve for x
    x = 582,363.32/848.26
  6. Step 6: Final answer
    x = 686.54

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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.