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Finding the Fourth Proportional to 780.36, 1,076.93 and 448.89

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Solution

The fourth proportional to 780.36, 1,076.93 and 448.89 is: 619.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.36 : 1,076.93 = 448.89 : x
  2. Step 2: Convert to fraction form
    780.36/1,076.93 = 448.89/x
  3. Step 3: Cross multiply
    780.36x = 1,076.93 × 448.89
  4. Step 4: Simplify right side
    780.36x = 483,423.30
  5. Step 5: Solve for x
    x = 483,423.30/780.36
  6. Step 6: Final answer
    x = 619.49

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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.