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Finding the Fourth Proportional to 979.74, 1,466.66 and 632.39

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Solution

The fourth proportional to 979.74, 1,466.66 and 632.39 is: 946.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.74 : 1,466.66 = 632.39 : x
  2. Step 2: Convert to fraction form
    979.74/1,466.66 = 632.39/x
  3. Step 3: Cross multiply
    979.74x = 1,466.66 × 632.39
  4. Step 4: Simplify right side
    979.74x = 927,501.12
  5. Step 5: Solve for x
    x = 927,501.12/979.74
  6. Step 6: Final answer
    x = 946.68

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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.