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Finding the Fourth Proportional to 753.98, 1,126.29 and 685.94

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Solution

The fourth proportional to 753.98, 1,126.29 and 685.94 is: 1,024.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.98 : 1,126.29 = 685.94 : x
  2. Step 2: Convert to fraction form
    753.98/1,126.29 = 685.94/x
  3. Step 3: Cross multiply
    753.98x = 1,126.29 × 685.94
  4. Step 4: Simplify right side
    753.98x = 772,563.93
  5. Step 5: Solve for x
    x = 772,563.93/753.98
  6. Step 6: Final answer
    x = 1,024.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.