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Finding the Fourth Proportional to 795.65, 1,098.11 and 464.26

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Solution

The fourth proportional to 795.65, 1,098.11 and 464.26 is: 640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.65 : 1,098.11 = 464.26 : x
  2. Step 2: Convert to fraction form
    795.65/1,098.11 = 464.26/x
  3. Step 3: Cross multiply
    795.65x = 1,098.11 × 464.26
  4. Step 4: Simplify right side
    795.65x = 509,808.55
  5. Step 5: Solve for x
    x = 509,808.55/795.65
  6. Step 6: Final answer
    x = 640.74

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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.