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Finding the Fourth Proportional to 1,407.86, 2,112.03 and 483.50

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Solution

The fourth proportional to 1,407.86, 2,112.03 and 483.50 is: 725.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.86 : 2,112.03 = 483.50 : x
  2. Step 2: Convert to fraction form
    1,407.86/2,112.03 = 483.50/x
  3. Step 3: Cross multiply
    1,407.86x = 2,112.03 × 483.50
  4. Step 4: Simplify right side
    1,407.86x = 1,021,166.51
  5. Step 5: Solve for x
    x = 1,021,166.51/1,407.86
  6. Step 6: Final answer
    x = 725.33

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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.