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Finding the Fourth Proportional to 1,095.72, 1,512.07 and 598.35

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Solution

The fourth proportional to 1,095.72, 1,512.07 and 598.35 is: 825.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.72 : 1,512.07 = 598.35 : x
  2. Step 2: Convert to fraction form
    1,095.72/1,512.07 = 598.35/x
  3. Step 3: Cross multiply
    1,095.72x = 1,512.07 × 598.35
  4. Step 4: Simplify right side
    1,095.72x = 904,751.26
  5. Step 5: Solve for x
    x = 904,751.26/1,095.72
  6. Step 6: Final answer
    x = 825.72

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