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Finding the Fourth Proportional to 1,184.19, 1,773.90 and 598.38

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Solution

The fourth proportional to 1,184.19, 1,773.90 and 598.38 is: 896.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.19 : 1,773.90 = 598.38 : x
  2. Step 2: Convert to fraction form
    1,184.19/1,773.90 = 598.38/x
  3. Step 3: Cross multiply
    1,184.19x = 1,773.90 × 598.38
  4. Step 4: Simplify right side
    1,184.19x = 1,061,466.28
  5. Step 5: Solve for x
    x = 1,061,466.28/1,184.19
  6. Step 6: Final answer
    x = 896.36

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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.