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Finding the Fourth Proportional to 1,033.48, 1,541.83 and 948.81

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Solution

The fourth proportional to 1,033.48, 1,541.83 and 948.81 is: 1,415.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.48 : 1,541.83 = 948.81 : x
  2. Step 2: Convert to fraction form
    1,033.48/1,541.83 = 948.81/x
  3. Step 3: Cross multiply
    1,033.48x = 1,541.83 × 948.81
  4. Step 4: Simplify right side
    1,033.48x = 1,462,896.01
  5. Step 5: Solve for x
    x = 1,462,896.01/1,033.48
  6. Step 6: Final answer
    x = 1,415.51

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1.5x scale

Why These Related Problems?

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