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Finding the Fourth Proportional to 1,310.00, 1,807.81 and 720.54

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Solution

The fourth proportional to 1,310.00, 1,807.81 and 720.54 is: 994.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.00 : 1,807.81 = 720.54 : x
  2. Step 2: Convert to fraction form
    1,310.00/1,807.81 = 720.54/x
  3. Step 3: Cross multiply
    1,310.00x = 1,807.81 × 720.54
  4. Step 4: Simplify right side
    1,310.00x = 1,302,597.62
  5. Step 5: Solve for x
    x = 1,302,597.62/1,310.00
  6. Step 6: Final answer
    x = 994.35

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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.