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Finding the Fourth Proportional to 795.84, 1,097.89 and 464.07

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Solution

The fourth proportional to 795.84, 1,097.89 and 464.07 is: 640.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.84 : 1,097.89 = 464.07 : x
  2. Step 2: Convert to fraction form
    795.84/1,097.89 = 464.07/x
  3. Step 3: Cross multiply
    795.84x = 1,097.89 × 464.07
  4. Step 4: Simplify right side
    795.84x = 509,497.81
  5. Step 5: Solve for x
    x = 509,497.81/795.84
  6. Step 6: Final answer
    x = 640.20

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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.