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Finding the Fourth Proportional to 923.74, 1,274.92 and 882.22

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Solution

The fourth proportional to 923.74, 1,274.92 and 882.22 is: 1,217.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.74 : 1,274.92 = 882.22 : x
  2. Step 2: Convert to fraction form
    923.74/1,274.92 = 882.22/x
  3. Step 3: Cross multiply
    923.74x = 1,274.92 × 882.22
  4. Step 4: Simplify right side
    923.74x = 1,124,762.62
  5. Step 5: Solve for x
    x = 1,124,762.62/923.74
  6. Step 6: Final answer
    x = 1,217.62

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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.