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Finding the Fourth Proportional to 1,235.47, 1,705.40 and 769.63

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Solution

The fourth proportional to 1,235.47, 1,705.40 and 769.63 is: 1,062.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.47 : 1,705.40 = 769.63 : x
  2. Step 2: Convert to fraction form
    1,235.47/1,705.40 = 769.63/x
  3. Step 3: Cross multiply
    1,235.47x = 1,705.40 × 769.63
  4. Step 4: Simplify right side
    1,235.47x = 1,312,527.00
  5. Step 5: Solve for x
    x = 1,312,527.00/1,235.47
  6. Step 6: Final answer
    x = 1,062.37

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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.