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Finding the Fourth Proportional to 1,054.34, 1,580.19 and 792.30

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Solution

The fourth proportional to 1,054.34, 1,580.19 and 792.30 is: 1,187.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.34 : 1,580.19 = 792.30 : x
  2. Step 2: Convert to fraction form
    1,054.34/1,580.19 = 792.30/x
  3. Step 3: Cross multiply
    1,054.34x = 1,580.19 × 792.30
  4. Step 4: Simplify right side
    1,054.34x = 1,251,984.54
  5. Step 5: Solve for x
    x = 1,251,984.54/1,054.34
  6. Step 6: Final answer
    x = 1,187.46

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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.