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Finding the Fourth Proportional to 1,455.77, 2,008.95 and 792.59

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Solution

The fourth proportional to 1,455.77, 2,008.95 and 792.59 is: 1,093.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.77 : 2,008.95 = 792.59 : x
  2. Step 2: Convert to fraction form
    1,455.77/2,008.95 = 792.59/x
  3. Step 3: Cross multiply
    1,455.77x = 2,008.95 × 792.59
  4. Step 4: Simplify right side
    1,455.77x = 1,592,265.12
  5. Step 5: Solve for x
    x = 1,592,265.12/1,455.77
  6. Step 6: Final answer
    x = 1,093.76

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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.