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Finding the Fourth Proportional to 1,239.79, 1,710.60 and 742.63

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Solution

The fourth proportional to 1,239.79, 1,710.60 and 742.63 is: 1,024.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.79 : 1,710.60 = 742.63 : x
  2. Step 2: Convert to fraction form
    1,239.79/1,710.60 = 742.63/x
  3. Step 3: Cross multiply
    1,239.79x = 1,710.60 × 742.63
  4. Step 4: Simplify right side
    1,239.79x = 1,270,334.33
  5. Step 5: Solve for x
    x = 1,270,334.33/1,239.79
  6. Step 6: Final answer
    x = 1,024.64

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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.