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Finding the Fourth Proportional to 1,514.25, 2,271.95 and 488.25

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Solution

The fourth proportional to 1,514.25, 2,271.95 and 488.25 is: 732.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.25 : 2,271.95 = 488.25 : x
  2. Step 2: Convert to fraction form
    1,514.25/2,271.95 = 488.25/x
  3. Step 3: Cross multiply
    1,514.25x = 2,271.95 × 488.25
  4. Step 4: Simplify right side
    1,514.25x = 1,109,277.15
  5. Step 5: Solve for x
    x = 1,109,277.15/1,514.25
  6. Step 6: Final answer
    x = 732.56

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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.