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Finding the Fourth Proportional to 1,303.24, 1,798.42 and 713.76

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Solution

The fourth proportional to 1,303.24, 1,798.42 and 713.76 is: 984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.24 : 1,798.42 = 713.76 : x
  2. Step 2: Convert to fraction form
    1,303.24/1,798.42 = 713.76/x
  3. Step 3: Cross multiply
    1,303.24x = 1,798.42 × 713.76
  4. Step 4: Simplify right side
    1,303.24x = 1,283,640.26
  5. Step 5: Solve for x
    x = 1,283,640.26/1,303.24
  6. Step 6: Final answer
    x = 984.96

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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.