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Finding the Fourth Proportional to 1,046.69, 1,558.78 and 983.81

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Solution

The fourth proportional to 1,046.69, 1,558.78 and 983.81 is: 1,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.69 : 1,558.78 = 983.81 : x
  2. Step 2: Convert to fraction form
    1,046.69/1,558.78 = 983.81/x
  3. Step 3: Cross multiply
    1,046.69x = 1,558.78 × 983.81
  4. Step 4: Simplify right side
    1,046.69x = 1,533,544.79
  5. Step 5: Solve for x
    x = 1,533,544.79/1,046.69
  6. Step 6: Final answer
    x = 1,465.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.