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Finding the Fourth Proportional to 1,503.89, 2,255.47 and 773.09

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Solution

The fourth proportional to 1,503.89, 2,255.47 and 773.09 is: 1,159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.89 : 2,255.47 = 773.09 : x
  2. Step 2: Convert to fraction form
    1,503.89/2,255.47 = 773.09/x
  3. Step 3: Cross multiply
    1,503.89x = 2,255.47 × 773.09
  4. Step 4: Simplify right side
    1,503.89x = 1,743,681.30
  5. Step 5: Solve for x
    x = 1,743,681.30/1,503.89
  6. Step 6: Final answer
    x = 1,159.45

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1.5x scale

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.