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Finding the Fourth Proportional to 1,096.39, 1,642.96 and 608.77

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Solution

The fourth proportional to 1,096.39, 1,642.96 and 608.77 is: 912.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.39 : 1,642.96 = 608.77 : x
  2. Step 2: Convert to fraction form
    1,096.39/1,642.96 = 608.77/x
  3. Step 3: Cross multiply
    1,096.39x = 1,642.96 × 608.77
  4. Step 4: Simplify right side
    1,096.39x = 1,000,184.76
  5. Step 5: Solve for x
    x = 1,000,184.76/1,096.39
  6. Step 6: Final answer
    x = 912.25

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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.