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Finding the Fourth Proportional to 1,137.98, 1,570.06 and 695.42

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Solution

The fourth proportional to 1,137.98, 1,570.06 and 695.42 is: 959.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.98 : 1,570.06 = 695.42 : x
  2. Step 2: Convert to fraction form
    1,137.98/1,570.06 = 695.42/x
  3. Step 3: Cross multiply
    1,137.98x = 1,570.06 × 695.42
  4. Step 4: Simplify right side
    1,137.98x = 1,091,851.13
  5. Step 5: Solve for x
    x = 1,091,851.13/1,137.98
  6. Step 6: Final answer
    x = 959.46

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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.