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Finding the Fourth Proportional to 1,095.38, 1,511.67 and 598.05

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Solution

The fourth proportional to 1,095.38, 1,511.67 and 598.05 is: 825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.38 : 1,511.67 = 598.05 : x
  2. Step 2: Convert to fraction form
    1,095.38/1,511.67 = 598.05/x
  3. Step 3: Cross multiply
    1,095.38x = 1,511.67 × 598.05
  4. Step 4: Simplify right side
    1,095.38x = 904,054.24
  5. Step 5: Solve for x
    x = 904,054.24/1,095.38
  6. Step 6: Final answer
    x = 825.34

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Why These Related Problems?

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