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Finding the Fourth Proportional to 795.84, 1,098.14 and 464.38

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Solution

The fourth proportional to 795.84, 1,098.14 and 464.38 is: 640.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.84 : 1,098.14 = 464.38 : x
  2. Step 2: Convert to fraction form
    795.84/1,098.14 = 464.38/x
  3. Step 3: Cross multiply
    795.84x = 1,098.14 × 464.38
  4. Step 4: Simplify right side
    795.84x = 509,954.25
  5. Step 5: Solve for x
    x = 509,954.25/795.84
  6. Step 6: Final answer
    x = 640.77

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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.