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Finding the Fourth Proportional to 1,095.44, 1,511.70 and 598.07

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Solution

The fourth proportional to 1,095.44, 1,511.70 and 598.07 is: 825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.44 : 1,511.70 = 598.07 : x
  2. Step 2: Convert to fraction form
    1,095.44/1,511.70 = 598.07/x
  3. Step 3: Cross multiply
    1,095.44x = 1,511.70 × 598.07
  4. Step 4: Simplify right side
    1,095.44x = 904,103.21
  5. Step 5: Solve for x
    x = 904,103.21/1,095.44
  6. Step 6: Final answer
    x = 825.34

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1.5x scale

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.