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Finding the Fourth Proportional to 1,303.83, 1,954.55 and 481.89

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Solution

The fourth proportional to 1,303.83, 1,954.55 and 481.89 is: 722.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.83 : 1,954.55 = 481.89 : x
  2. Step 2: Convert to fraction form
    1,303.83/1,954.55 = 481.89/x
  3. Step 3: Cross multiply
    1,303.83x = 1,954.55 × 481.89
  4. Step 4: Simplify right side
    1,303.83x = 941,878.10
  5. Step 5: Solve for x
    x = 941,878.10/1,303.83
  6. Step 6: Final answer
    x = 722.40

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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.