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Finding the Fourth Proportional to 795.53, 1,096.70 and 655.43

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Solution

The fourth proportional to 795.53, 1,096.70 and 655.43 is: 903.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.53 : 1,096.70 = 655.43 : x
  2. Step 2: Convert to fraction form
    795.53/1,096.70 = 655.43/x
  3. Step 3: Cross multiply
    795.53x = 1,096.70 × 655.43
  4. Step 4: Simplify right side
    795.53x = 718,810.08
  5. Step 5: Solve for x
    x = 718,810.08/795.53
  6. Step 6: Final answer
    x = 903.56

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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.