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Finding the Fourth Proportional to 1,156.44, 1,733.04 and 984.72

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Solution

The fourth proportional to 1,156.44, 1,733.04 and 984.72 is: 1,475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.44 : 1,733.04 = 984.72 : x
  2. Step 2: Convert to fraction form
    1,156.44/1,733.04 = 984.72/x
  3. Step 3: Cross multiply
    1,156.44x = 1,733.04 × 984.72
  4. Step 4: Simplify right side
    1,156.44x = 1,706,559.15
  5. Step 5: Solve for x
    x = 1,706,559.15/1,156.44
  6. Step 6: Final answer
    x = 1,475.70

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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.