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Finding the Fourth Proportional to 1,397.16, 1,928.16 and 931.68

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Solution

The fourth proportional to 1,397.16, 1,928.16 and 931.68 is: 1,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.16 : 1,928.16 = 931.68 : x
  2. Step 2: Convert to fraction form
    1,397.16/1,928.16 = 931.68/x
  3. Step 3: Cross multiply
    1,397.16x = 1,928.16 × 931.68
  4. Step 4: Simplify right side
    1,397.16x = 1,796,428.11
  5. Step 5: Solve for x
    x = 1,796,428.11/1,397.16
  6. Step 6: Final answer
    x = 1,285.77

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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.