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Finding the Fourth Proportional to 835.80, 1,254.90 and 653.40

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Solution

The fourth proportional to 835.80, 1,254.90 and 653.40 is: 981.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.80 : 1,254.90 = 653.40 : x
  2. Step 2: Convert to fraction form
    835.80/1,254.90 = 653.40/x
  3. Step 3: Cross multiply
    835.80x = 1,254.90 × 653.40
  4. Step 4: Simplify right side
    835.80x = 819,951.66
  5. Step 5: Solve for x
    x = 819,951.66/835.80
  6. Step 6: Final answer
    x = 981.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.