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Finding the Fourth Proportional to 795.51, 1,097.55 and 480.89

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Solution

The fourth proportional to 795.51, 1,097.55 and 480.89 is: 663.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.51 : 1,097.55 = 480.89 : x
  2. Step 2: Convert to fraction form
    795.51/1,097.55 = 480.89/x
  3. Step 3: Cross multiply
    795.51x = 1,097.55 × 480.89
  4. Step 4: Simplify right side
    795.51x = 527,803.56
  5. Step 5: Solve for x
    x = 527,803.56/795.51
  6. Step 6: Final answer
    x = 663.48

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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.