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Finding the Fourth Proportional to 1,475.69, 2,035.23 and 885.81

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Solution

The fourth proportional to 1,475.69, 2,035.23 and 885.81 is: 1,221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.69 : 2,035.23 = 885.81 : x
  2. Step 2: Convert to fraction form
    1,475.69/2,035.23 = 885.81/x
  3. Step 3: Cross multiply
    1,475.69x = 2,035.23 × 885.81
  4. Step 4: Simplify right side
    1,475.69x = 1,802,827.09
  5. Step 5: Solve for x
    x = 1,802,827.09/1,475.69
  6. Step 6: Final answer
    x = 1,221.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.