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Finding the Fourth Proportional to 1,131.12, 1,690.14 and 897.58

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Solution

The fourth proportional to 1,131.12, 1,690.14 and 897.58 is: 1,341.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.12 : 1,690.14 = 897.58 : x
  2. Step 2: Convert to fraction form
    1,131.12/1,690.14 = 897.58/x
  3. Step 3: Cross multiply
    1,131.12x = 1,690.14 × 897.58
  4. Step 4: Simplify right side
    1,131.12x = 1,517,027.41
  5. Step 5: Solve for x
    x = 1,517,027.41/1,131.12
  6. Step 6: Final answer
    x = 1,341.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.