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Finding the Fourth Proportional to 923.08, 1,386.03 and 794.50

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Solution

The fourth proportional to 923.08, 1,386.03 and 794.50 is: 1,192.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.08 : 1,386.03 = 794.50 : x
  2. Step 2: Convert to fraction form
    923.08/1,386.03 = 794.50/x
  3. Step 3: Cross multiply
    923.08x = 1,386.03 × 794.50
  4. Step 4: Simplify right side
    923.08x = 1,101,200.84
  5. Step 5: Solve for x
    x = 1,101,200.84/923.08
  6. Step 6: Final answer
    x = 1,192.96

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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.