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Finding the Fourth Proportional to 1,135.54, 1,704.12 and 971.38

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Solution

The fourth proportional to 1,135.54, 1,704.12 and 971.38 is: 1,457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.54 : 1,704.12 = 971.38 : x
  2. Step 2: Convert to fraction form
    1,135.54/1,704.12 = 971.38/x
  3. Step 3: Cross multiply
    1,135.54x = 1,704.12 × 971.38
  4. Step 4: Simplify right side
    1,135.54x = 1,655,348.09
  5. Step 5: Solve for x
    x = 1,655,348.09/1,135.54
  6. Step 6: Final answer
    x = 1,457.76

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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.