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Finding the Fourth Proportional to 1,530.31, 2,293.82 and 605.46

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Solution

The fourth proportional to 1,530.31, 2,293.82 and 605.46 is: 907.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.31 : 2,293.82 = 605.46 : x
  2. Step 2: Convert to fraction form
    1,530.31/2,293.82 = 605.46/x
  3. Step 3: Cross multiply
    1,530.31x = 2,293.82 × 605.46
  4. Step 4: Simplify right side
    1,530.31x = 1,388,816.26
  5. Step 5: Solve for x
    x = 1,388,816.26/1,530.31
  6. Step 6: Final answer
    x = 907.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.