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Finding the Fourth Proportional to 832.90, 1,253.96 and 735.95

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Solution

The fourth proportional to 832.90, 1,253.96 and 735.95 is: 1,108.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.90 : 1,253.96 = 735.95 : x
  2. Step 2: Convert to fraction form
    832.90/1,253.96 = 735.95/x
  3. Step 3: Cross multiply
    832.90x = 1,253.96 × 735.95
  4. Step 4: Simplify right side
    832.90x = 922,858.22
  5. Step 5: Solve for x
    x = 922,858.22/832.90
  6. Step 6: Final answer
    x = 1,108.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.