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Finding the Fourth Proportional to 1,156.45, 1,735.80 and 1,094.02

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Solution

The fourth proportional to 1,156.45, 1,735.80 and 1,094.02 is: 1,642.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.45 : 1,735.80 = 1,094.02 : x
  2. Step 2: Convert to fraction form
    1,156.45/1,735.80 = 1,094.02/x
  3. Step 3: Cross multiply
    1,156.45x = 1,735.80 × 1,094.02
  4. Step 4: Simplify right side
    1,156.45x = 1,898,999.92
  5. Step 5: Solve for x
    x = 1,898,999.92/1,156.45
  6. Step 6: Final answer
    x = 1,642.09

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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.