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Finding the Fourth Proportional to 1,095.70, 1,512.06 and 598.36

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Solution

The fourth proportional to 1,095.70, 1,512.06 and 598.36 is: 825.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.70 : 1,512.06 = 598.36 : x
  2. Step 2: Convert to fraction form
    1,095.70/1,512.06 = 598.36/x
  3. Step 3: Cross multiply
    1,095.70x = 1,512.06 × 598.36
  4. Step 4: Simplify right side
    1,095.70x = 904,753.23
  5. Step 5: Solve for x
    x = 904,753.23/1,095.70
  6. Step 6: Final answer
    x = 825.73

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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.