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Finding the Fourth Proportional to 1,154.71, 1,593.62 and 688.96

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Solution

The fourth proportional to 1,154.71, 1,593.62 and 688.96 is: 950.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.71 : 1,593.62 = 688.96 : x
  2. Step 2: Convert to fraction form
    1,154.71/1,593.62 = 688.96/x
  3. Step 3: Cross multiply
    1,154.71x = 1,593.62 × 688.96
  4. Step 4: Simplify right side
    1,154.71x = 1,097,940.44
  5. Step 5: Solve for x
    x = 1,097,940.44/1,154.71
  6. Step 6: Final answer
    x = 950.84

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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.