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Finding the Fourth Proportional to 1,033.83, 1,543.22 and 957.69

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Solution

The fourth proportional to 1,033.83, 1,543.22 and 957.69 is: 1,429.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.83 : 1,543.22 = 957.69 : x
  2. Step 2: Convert to fraction form
    1,033.83/1,543.22 = 957.69/x
  3. Step 3: Cross multiply
    1,033.83x = 1,543.22 × 957.69
  4. Step 4: Simplify right side
    1,033.83x = 1,477,926.36
  5. Step 5: Solve for x
    x = 1,477,926.36/1,033.83
  6. Step 6: Final answer
    x = 1,429.56

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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.