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Finding the Fourth Proportional to 1,095.52, 1,511.73 and 598.17

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Solution

The fourth proportional to 1,095.52, 1,511.73 and 598.17 is: 825.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.52 : 1,511.73 = 598.17 : x
  2. Step 2: Convert to fraction form
    1,095.52/1,511.73 = 598.17/x
  3. Step 3: Cross multiply
    1,095.52x = 1,511.73 × 598.17
  4. Step 4: Simplify right side
    1,095.52x = 904,263.98
  5. Step 5: Solve for x
    x = 904,263.98/1,095.52
  6. Step 6: Final answer
    x = 825.42

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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.