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Finding the Fourth Proportional to 1,486.13, 2,050.94 and 823.06

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Solution

The fourth proportional to 1,486.13, 2,050.94 and 823.06 is: 1,135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.13 : 2,050.94 = 823.06 : x
  2. Step 2: Convert to fraction form
    1,486.13/2,050.94 = 823.06/x
  3. Step 3: Cross multiply
    1,486.13x = 2,050.94 × 823.06
  4. Step 4: Simplify right side
    1,486.13x = 1,688,032.31
  5. Step 5: Solve for x
    x = 1,688,032.31/1,486.13
  6. Step 6: Final answer
    x = 1,135.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.