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Finding the Fourth Proportional to 1,157.84, 1,733.76 and 974.84

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Solution

The fourth proportional to 1,157.84, 1,733.76 and 974.84 is: 1,459.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.84 : 1,733.76 = 974.84 : x
  2. Step 2: Convert to fraction form
    1,157.84/1,733.76 = 974.84/x
  3. Step 3: Cross multiply
    1,157.84x = 1,733.76 × 974.84
  4. Step 4: Simplify right side
    1,157.84x = 1,690,138.60
  5. Step 5: Solve for x
    x = 1,690,138.60/1,157.84
  6. Step 6: Final answer
    x = 1,459.73

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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.