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Finding the Fourth Proportional to 1,237.43, 1,707.58 and 713.45

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Solution

The fourth proportional to 1,237.43, 1,707.58 and 713.45 is: 984.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.43 : 1,707.58 = 713.45 : x
  2. Step 2: Convert to fraction form
    1,237.43/1,707.58 = 713.45/x
  3. Step 3: Cross multiply
    1,237.43x = 1,707.58 × 713.45
  4. Step 4: Simplify right side
    1,237.43x = 1,218,272.95
  5. Step 5: Solve for x
    x = 1,218,272.95/1,237.43
  6. Step 6: Final answer
    x = 984.52

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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.