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Finding the Fourth Proportional to 923.38, 1,274.26 and 509.38

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Solution

The fourth proportional to 923.38, 1,274.26 and 509.38 is: 702.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.38 : 1,274.26 = 509.38 : x
  2. Step 2: Convert to fraction form
    923.38/1,274.26 = 509.38/x
  3. Step 3: Cross multiply
    923.38x = 1,274.26 × 509.38
  4. Step 4: Simplify right side
    923.38x = 649,082.56
  5. Step 5: Solve for x
    x = 649,082.56/923.38
  6. Step 6: Final answer
    x = 702.94

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Double scale
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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.