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Finding the Fourth Proportional to 823.53, 1,235.46 and 275.76

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Solution

The fourth proportional to 823.53, 1,235.46 and 275.76 is: 413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.53 : 1,235.46 = 275.76 : x
  2. Step 2: Convert to fraction form
    823.53/1,235.46 = 275.76/x
  3. Step 3: Cross multiply
    823.53x = 1,235.46 × 275.76
  4. Step 4: Simplify right side
    823.53x = 340,690.45
  5. Step 5: Solve for x
    x = 340,690.45/823.53
  6. Step 6: Final answer
    x = 413.70

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1.5x scale

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.