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Finding the Fourth Proportional to 848.03, 1,271.32 and 327.74

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Solution

The fourth proportional to 848.03, 1,271.32 and 327.74 is: 491.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.03 : 1,271.32 = 327.74 : x
  2. Step 2: Convert to fraction form
    848.03/1,271.32 = 327.74/x
  3. Step 3: Cross multiply
    848.03x = 1,271.32 × 327.74
  4. Step 4: Simplify right side
    848.03x = 416,655.24
  5. Step 5: Solve for x
    x = 416,655.24/848.03
  6. Step 6: Final answer
    x = 491.32

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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.