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Finding the Fourth Proportional to 795.62, 1,097.75 and 463.93

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Solution

The fourth proportional to 795.62, 1,097.75 and 463.93 is: 640.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.62 : 1,097.75 = 463.93 : x
  2. Step 2: Convert to fraction form
    795.62/1,097.75 = 463.93/x
  3. Step 3: Cross multiply
    795.62x = 1,097.75 × 463.93
  4. Step 4: Simplify right side
    795.62x = 509,277.57
  5. Step 5: Solve for x
    x = 509,277.57/795.62
  6. Step 6: Final answer
    x = 640.10

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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.