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Finding the Fourth Proportional to 1,114.03, 1,668.61 and 565.27

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Solution

The fourth proportional to 1,114.03, 1,668.61 and 565.27 is: 846.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.03 : 1,668.61 = 565.27 : x
  2. Step 2: Convert to fraction form
    1,114.03/1,668.61 = 565.27/x
  3. Step 3: Cross multiply
    1,114.03x = 1,668.61 × 565.27
  4. Step 4: Simplify right side
    1,114.03x = 943,215.17
  5. Step 5: Solve for x
    x = 943,215.17/1,114.03
  6. Step 6: Final answer
    x = 846.67

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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.