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Finding the Fourth Proportional to 1,136.17, 1,564.67 and 1,023.17

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Solution

The fourth proportional to 1,136.17, 1,564.67 and 1,023.17 is: 1,409.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.17 : 1,564.67 = 1,023.17 : x
  2. Step 2: Convert to fraction form
    1,136.17/1,564.67 = 1,023.17/x
  3. Step 3: Cross multiply
    1,136.17x = 1,564.67 × 1,023.17
  4. Step 4: Simplify right side
    1,136.17x = 1,600,922.20
  5. Step 5: Solve for x
    x = 1,600,922.20/1,136.17
  6. Step 6: Final answer
    x = 1,409.05

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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.