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Finding the Fourth Proportional to 923.70, 1,378.27 and 902.69

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Solution

The fourth proportional to 923.70, 1,378.27 and 902.69 is: 1,346.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.70 : 1,378.27 = 902.69 : x
  2. Step 2: Convert to fraction form
    923.70/1,378.27 = 902.69/x
  3. Step 3: Cross multiply
    923.70x = 1,378.27 × 902.69
  4. Step 4: Simplify right side
    923.70x = 1,244,152.63
  5. Step 5: Solve for x
    x = 1,244,152.63/923.70
  6. Step 6: Final answer
    x = 1,346.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.