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Finding the Fourth Proportional to 1,403.75, 2,105.93 and 538.07

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Solution

The fourth proportional to 1,403.75, 2,105.93 and 538.07 is: 807.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.75 : 2,105.93 = 538.07 : x
  2. Step 2: Convert to fraction form
    1,403.75/2,105.93 = 538.07/x
  3. Step 3: Cross multiply
    1,403.75x = 2,105.93 × 538.07
  4. Step 4: Simplify right side
    1,403.75x = 1,133,127.23
  5. Step 5: Solve for x
    x = 1,133,127.23/1,403.75
  6. Step 6: Final answer
    x = 807.21

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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.