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Finding the Fourth Proportional to 1,403.56, 2,103.58 and 633

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Solution

The fourth proportional to 1,403.56, 2,103.58 and 633 is: 948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.56 : 2,103.58 = 633 : x
  2. Step 2: Convert to fraction form
    1,403.56/2,103.58 = 633/x
  3. Step 3: Cross multiply
    1,403.56x = 2,103.58 × 633
  4. Step 4: Simplify right side
    1,403.56x = 1,331,566.14
  5. Step 5: Solve for x
    x = 1,331,566.14/1,403.56
  6. Step 6: Final answer
    x = 948.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.