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Finding the Fourth Proportional to 795.19, 1,097.47 and 480.47

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Solution

The fourth proportional to 795.19, 1,097.47 and 480.47 is: 663.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.19 : 1,097.47 = 480.47 : x
  2. Step 2: Convert to fraction form
    795.19/1,097.47 = 480.47/x
  3. Step 3: Cross multiply
    795.19x = 1,097.47 × 480.47
  4. Step 4: Simplify right side
    795.19x = 527,301.41
  5. Step 5: Solve for x
    x = 527,301.41/795.19
  6. Step 6: Final answer
    x = 663.11

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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.