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Finding the Fourth Proportional to 1,328.06, 1,832.83 and 975.11

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Solution

The fourth proportional to 1,328.06, 1,832.83 and 975.11 is: 1,345.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.06 : 1,832.83 = 975.11 : x
  2. Step 2: Convert to fraction form
    1,328.06/1,832.83 = 975.11/x
  3. Step 3: Cross multiply
    1,328.06x = 1,832.83 × 975.11
  4. Step 4: Simplify right side
    1,328.06x = 1,787,199.26
  5. Step 5: Solve for x
    x = 1,787,199.26/1,328.06
  6. Step 6: Final answer
    x = 1,345.72

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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.