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Finding the Fourth Proportional to 910.56, 1,254.96 and 743.70

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Solution

The fourth proportional to 910.56, 1,254.96 and 743.70 is: 1,024.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.56 : 1,254.96 = 743.70 : x
  2. Step 2: Convert to fraction form
    910.56/1,254.96 = 743.70/x
  3. Step 3: Cross multiply
    910.56x = 1,254.96 × 743.70
  4. Step 4: Simplify right side
    910.56x = 933,313.75
  5. Step 5: Solve for x
    x = 933,313.75/910.56
  6. Step 6: Final answer
    x = 1,024.99

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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.