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Finding the Fourth Proportional to 1,095.49, 1,511.80 and 598.14

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Solution

The fourth proportional to 1,095.49, 1,511.80 and 598.14 is: 825.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.49 : 1,511.80 = 598.14 : x
  2. Step 2: Convert to fraction form
    1,095.49/1,511.80 = 598.14/x
  3. Step 3: Cross multiply
    1,095.49x = 1,511.80 × 598.14
  4. Step 4: Simplify right side
    1,095.49x = 904,268.05
  5. Step 5: Solve for x
    x = 904,268.05/1,095.49
  6. Step 6: Final answer
    x = 825.45

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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.