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Finding the Fourth Proportional to 795.57, 1,097.90 and 459.47

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Solution

The fourth proportional to 795.57, 1,097.90 and 459.47 is: 634.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.57 : 1,097.90 = 459.47 : x
  2. Step 2: Convert to fraction form
    795.57/1,097.90 = 459.47/x
  3. Step 3: Cross multiply
    795.57x = 1,097.90 × 459.47
  4. Step 4: Simplify right side
    795.57x = 504,452.11
  5. Step 5: Solve for x
    x = 504,452.11/795.57
  6. Step 6: Final answer
    x = 634.08

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1.5x scale

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.