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Finding the Fourth Proportional to 1,303.27, 1,798.51 and 713.80

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Solution

The fourth proportional to 1,303.27, 1,798.51 and 713.80 is: 985.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.27 : 1,798.51 = 713.80 : x
  2. Step 2: Convert to fraction form
    1,303.27/1,798.51 = 713.80/x
  3. Step 3: Cross multiply
    1,303.27x = 1,798.51 × 713.80
  4. Step 4: Simplify right side
    1,303.27x = 1,283,777.92
  5. Step 5: Solve for x
    x = 1,283,777.92/1,303.27
  6. Step 6: Final answer
    x = 985.05

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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.