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Finding the Fourth Proportional to 1,309.46, 1,807.08 and 720.03

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Solution

The fourth proportional to 1,309.46, 1,807.08 and 720.03 is: 993.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.46 : 1,807.08 = 720.03 : x
  2. Step 2: Convert to fraction form
    1,309.46/1,807.08 = 720.03/x
  3. Step 3: Cross multiply
    1,309.46x = 1,807.08 × 720.03
  4. Step 4: Simplify right side
    1,309.46x = 1,301,139.18
  5. Step 5: Solve for x
    x = 1,301,139.18/1,309.46
  6. Step 6: Final answer
    x = 993.65

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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.