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Finding the Fourth Proportional to 795.48, 1,097.73 and 501.05

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Solution

The fourth proportional to 795.48, 1,097.73 and 501.05 is: 691.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.48 : 1,097.73 = 501.05 : x
  2. Step 2: Convert to fraction form
    795.48/1,097.73 = 501.05/x
  3. Step 3: Cross multiply
    795.48x = 1,097.73 × 501.05
  4. Step 4: Simplify right side
    795.48x = 550,012.13
  5. Step 5: Solve for x
    x = 550,012.13/795.48
  6. Step 6: Final answer
    x = 691.42

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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.