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Finding the Fourth Proportional to 923.51, 1,273.20 and 894.85

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Solution

The fourth proportional to 923.51, 1,273.20 and 894.85 is: 1,233.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.51 : 1,273.20 = 894.85 : x
  2. Step 2: Convert to fraction form
    923.51/1,273.20 = 894.85/x
  3. Step 3: Cross multiply
    923.51x = 1,273.20 × 894.85
  4. Step 4: Simplify right side
    923.51x = 1,139,323.02
  5. Step 5: Solve for x
    x = 1,139,323.02/923.51
  6. Step 6: Final answer
    x = 1,233.69

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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.