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Finding the Fourth Proportional to 792.58, 1,093.75 and 497.83

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Solution

The fourth proportional to 792.58, 1,093.75 and 497.83 is: 687.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.58 : 1,093.75 = 497.83 : x
  2. Step 2: Convert to fraction form
    792.58/1,093.75 = 497.83/x
  3. Step 3: Cross multiply
    792.58x = 1,093.75 × 497.83
  4. Step 4: Simplify right side
    792.58x = 544,501.56
  5. Step 5: Solve for x
    x = 544,501.56/792.58
  6. Step 6: Final answer
    x = 687.00

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