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Finding the Fourth Proportional to 753.35, 1,037.77 and 654.94

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Solution

The fourth proportional to 753.35, 1,037.77 and 654.94 is: 902.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.35 : 1,037.77 = 654.94 : x
  2. Step 2: Convert to fraction form
    753.35/1,037.77 = 654.94/x
  3. Step 3: Cross multiply
    753.35x = 1,037.77 × 654.94
  4. Step 4: Simplify right side
    753.35x = 679,672.85
  5. Step 5: Solve for x
    x = 679,672.85/753.35
  6. Step 6: Final answer
    x = 902.20

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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.