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Finding the Fourth Proportional to 931.29, 1,397.30 and 492.54

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Solution

The fourth proportional to 931.29, 1,397.30 and 492.54 is: 739.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.29 : 1,397.30 = 492.54 : x
  2. Step 2: Convert to fraction form
    931.29/1,397.30 = 492.54/x
  3. Step 3: Cross multiply
    931.29x = 1,397.30 × 492.54
  4. Step 4: Simplify right side
    931.29x = 688,226.14
  5. Step 5: Solve for x
    x = 688,226.14/931.29
  6. Step 6: Final answer
    x = 739.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.