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Finding the Fourth Proportional to 1,166.88, 1,598.02 and 1,151.50

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Solution

The fourth proportional to 1,166.88, 1,598.02 and 1,151.50 is: 1,576.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.88 : 1,598.02 = 1,151.50 : x
  2. Step 2: Convert to fraction form
    1,166.88/1,598.02 = 1,151.50/x
  3. Step 3: Cross multiply
    1,166.88x = 1,598.02 × 1,151.50
  4. Step 4: Simplify right side
    1,166.88x = 1,840,120.03
  5. Step 5: Solve for x
    x = 1,840,120.03/1,166.88
  6. Step 6: Final answer
    x = 1,576.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.