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Finding the Fourth Proportional to 1,094.03, 1,509.41 and 700.98

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Solution

The fourth proportional to 1,094.03, 1,509.41 and 700.98 is: 967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.03 : 1,509.41 = 700.98 : x
  2. Step 2: Convert to fraction form
    1,094.03/1,509.41 = 700.98/x
  3. Step 3: Cross multiply
    1,094.03x = 1,509.41 × 700.98
  4. Step 4: Simplify right side
    1,094.03x = 1,058,067.97
  5. Step 5: Solve for x
    x = 1,058,067.97/1,094.03
  6. Step 6: Final answer
    x = 967.13

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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.