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Finding the Fourth Proportional to 1,176.23, 1,622.67 and 756.50

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Solution

The fourth proportional to 1,176.23, 1,622.67 and 756.50 is: 1,043.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.23 : 1,622.67 = 756.50 : x
  2. Step 2: Convert to fraction form
    1,176.23/1,622.67 = 756.50/x
  3. Step 3: Cross multiply
    1,176.23x = 1,622.67 × 756.50
  4. Step 4: Simplify right side
    1,176.23x = 1,227,556.75
  5. Step 5: Solve for x
    x = 1,227,556.75/1,176.23
  6. Step 6: Final answer
    x = 1,043.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.