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Finding the Fourth Proportional to 1,175.66, 1,765.11 and 598.94

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Solution

The fourth proportional to 1,175.66, 1,765.11 and 598.94 is: 899.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.66 : 1,765.11 = 598.94 : x
  2. Step 2: Convert to fraction form
    1,175.66/1,765.11 = 598.94/x
  3. Step 3: Cross multiply
    1,175.66x = 1,765.11 × 598.94
  4. Step 4: Simplify right side
    1,175.66x = 1,057,194.98
  5. Step 5: Solve for x
    x = 1,057,194.98/1,175.66
  6. Step 6: Final answer
    x = 899.24

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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.