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Finding the Fourth Proportional to 1,309.63, 1,807.28 and 720.15

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Solution

The fourth proportional to 1,309.63, 1,807.28 and 720.15 is: 993.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.63 : 1,807.28 = 720.15 : x
  2. Step 2: Convert to fraction form
    1,309.63/1,807.28 = 720.15/x
  3. Step 3: Cross multiply
    1,309.63x = 1,807.28 × 720.15
  4. Step 4: Simplify right side
    1,309.63x = 1,301,512.69
  5. Step 5: Solve for x
    x = 1,301,512.69/1,309.63
  6. Step 6: Final answer
    x = 993.80

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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.