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Finding the Fourth Proportional to 1,068.75, 1,603.80 and 419.51

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Solution

The fourth proportional to 1,068.75, 1,603.80 and 419.51 is: 629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.75 : 1,603.80 = 419.51 : x
  2. Step 2: Convert to fraction form
    1,068.75/1,603.80 = 419.51/x
  3. Step 3: Cross multiply
    1,068.75x = 1,603.80 × 419.51
  4. Step 4: Simplify right side
    1,068.75x = 672,814.15
  5. Step 5: Solve for x
    x = 672,814.15/1,068.75
  6. Step 6: Final answer
    x = 629.53

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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.