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Finding the Fourth Proportional to 1,092.05, 1,506.96 and 613.53

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Solution

The fourth proportional to 1,092.05, 1,506.96 and 613.53 is: 846.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.05 : 1,506.96 = 613.53 : x
  2. Step 2: Convert to fraction form
    1,092.05/1,506.96 = 613.53/x
  3. Step 3: Cross multiply
    1,092.05x = 1,506.96 × 613.53
  4. Step 4: Simplify right side
    1,092.05x = 924,565.17
  5. Step 5: Solve for x
    x = 924,565.17/1,092.05
  6. Step 6: Final answer
    x = 846.63

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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.