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Finding the Fourth Proportional to 795.07, 1,097.29 and 459.02

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Solution

The fourth proportional to 795.07, 1,097.29 and 459.02 is: 633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.07 : 1,097.29 = 459.02 : x
  2. Step 2: Convert to fraction form
    795.07/1,097.29 = 459.02/x
  3. Step 3: Cross multiply
    795.07x = 1,097.29 × 459.02
  4. Step 4: Simplify right side
    795.07x = 503,678.06
  5. Step 5: Solve for x
    x = 503,678.06/795.07
  6. Step 6: Final answer
    x = 633.50

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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.