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Finding the Fourth Proportional to 1,054.76, 1,579.73 and 507.33

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Solution

The fourth proportional to 1,054.76, 1,579.73 and 507.33 is: 759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.76 : 1,579.73 = 507.33 : x
  2. Step 2: Convert to fraction form
    1,054.76/1,579.73 = 507.33/x
  3. Step 3: Cross multiply
    1,054.76x = 1,579.73 × 507.33
  4. Step 4: Simplify right side
    1,054.76x = 801,441.88
  5. Step 5: Solve for x
    x = 801,441.88/1,054.76
  6. Step 6: Final answer
    x = 759.84

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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.