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Finding the Fourth Proportional to 848.26, 1,271.31 and 457.35

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Solution

The fourth proportional to 848.26, 1,271.31 and 457.35 is: 685.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.26 : 1,271.31 = 457.35 : x
  2. Step 2: Convert to fraction form
    848.26/1,271.31 = 457.35/x
  3. Step 3: Cross multiply
    848.26x = 1,271.31 × 457.35
  4. Step 4: Simplify right side
    848.26x = 581,433.63
  5. Step 5: Solve for x
    x = 581,433.63/848.26
  6. Step 6: Final answer
    x = 685.44

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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.