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Finding the Fourth Proportional to 1,156.77, 1,735.46 and 637.22

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Solution

The fourth proportional to 1,156.77, 1,735.46 and 637.22 is: 955.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.77 : 1,735.46 = 637.22 : x
  2. Step 2: Convert to fraction form
    1,156.77/1,735.46 = 637.22/x
  3. Step 3: Cross multiply
    1,156.77x = 1,735.46 × 637.22
  4. Step 4: Simplify right side
    1,156.77x = 1,105,857.96
  5. Step 5: Solve for x
    x = 1,105,857.96/1,156.77
  6. Step 6: Final answer
    x = 955.99

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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.