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Finding the Fourth Proportional to 1,048.81, 1,561.23 and 1,033.24

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Solution

The fourth proportional to 1,048.81, 1,561.23 and 1,033.24 is: 1,538.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.81 : 1,561.23 = 1,033.24 : x
  2. Step 2: Convert to fraction form
    1,048.81/1,561.23 = 1,033.24/x
  3. Step 3: Cross multiply
    1,048.81x = 1,561.23 × 1,033.24
  4. Step 4: Simplify right side
    1,048.81x = 1,613,125.29
  5. Step 5: Solve for x
    x = 1,613,125.29/1,048.81
  6. Step 6: Final answer
    x = 1,538.05

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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.