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Finding the Fourth Proportional to 835.84, 1,254.76 and 652.96

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Solution

The fourth proportional to 835.84, 1,254.76 and 652.96 is: 980.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.84 : 1,254.76 = 652.96 : x
  2. Step 2: Convert to fraction form
    835.84/1,254.76 = 652.96/x
  3. Step 3: Cross multiply
    835.84x = 1,254.76 × 652.96
  4. Step 4: Simplify right side
    835.84x = 819,308.09
  5. Step 5: Solve for x
    x = 819,308.09/835.84
  6. Step 6: Final answer
    x = 980.22

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Why These Related Problems?

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