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Finding the Fourth Proportional to 1,407.93, 2,111.90 and 762.77

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Solution

The fourth proportional to 1,407.93, 2,111.90 and 762.77 is: 1,144.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.93 : 2,111.90 = 762.77 : x
  2. Step 2: Convert to fraction form
    1,407.93/2,111.90 = 762.77/x
  3. Step 3: Cross multiply
    1,407.93x = 2,111.90 × 762.77
  4. Step 4: Simplify right side
    1,407.93x = 1,610,879.59
  5. Step 5: Solve for x
    x = 1,610,879.59/1,407.93
  6. Step 6: Final answer
    x = 1,144.15

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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.