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Finding the Fourth Proportional to 974.66, 1,459.59 and 930.23

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Solution

The fourth proportional to 974.66, 1,459.59 and 930.23 is: 1,393.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.66 : 1,459.59 = 930.23 : x
  2. Step 2: Convert to fraction form
    974.66/1,459.59 = 930.23/x
  3. Step 3: Cross multiply
    974.66x = 1,459.59 × 930.23
  4. Step 4: Simplify right side
    974.66x = 1,357,754.41
  5. Step 5: Solve for x
    x = 1,357,754.41/974.66
  6. Step 6: Final answer
    x = 1,393.05

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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.