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Finding the Fourth Proportional to 843.75, 1,164.38 and 489.74

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Solution

The fourth proportional to 843.75, 1,164.38 and 489.74 is: 675.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.75 : 1,164.38 = 489.74 : x
  2. Step 2: Convert to fraction form
    843.75/1,164.38 = 489.74/x
  3. Step 3: Cross multiply
    843.75x = 1,164.38 × 489.74
  4. Step 4: Simplify right side
    843.75x = 570,243.46
  5. Step 5: Solve for x
    x = 570,243.46/843.75
  6. Step 6: Final answer
    x = 675.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.