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Finding the Fourth Proportional to 923.99, 1,271.70 and 736.88

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Solution

The fourth proportional to 923.99, 1,271.70 and 736.88 is: 1,014.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.99 : 1,271.70 = 736.88 : x
  2. Step 2: Convert to fraction form
    923.99/1,271.70 = 736.88/x
  3. Step 3: Cross multiply
    923.99x = 1,271.70 × 736.88
  4. Step 4: Simplify right side
    923.99x = 937,083.94
  5. Step 5: Solve for x
    x = 937,083.94/923.99
  6. Step 6: Final answer
    x = 1,014.18

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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.