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Finding the Fourth Proportional to 1,486.05, 2,050.74 and 822.89

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Solution

The fourth proportional to 1,486.05, 2,050.74 and 822.89 is: 1,135.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.05 : 2,050.74 = 822.89 : x
  2. Step 2: Convert to fraction form
    1,486.05/2,050.74 = 822.89/x
  3. Step 3: Cross multiply
    1,486.05x = 2,050.74 × 822.89
  4. Step 4: Simplify right side
    1,486.05x = 1,687,523.18
  5. Step 5: Solve for x
    x = 1,687,523.18/1,486.05
  6. Step 6: Final answer
    x = 1,135.58

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1.5x scale

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.