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Finding the Fourth Proportional to 1,149.90, 1,586.75 and 645.64

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Solution

The fourth proportional to 1,149.90, 1,586.75 and 645.64 is: 890.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.90 : 1,586.75 = 645.64 : x
  2. Step 2: Convert to fraction form
    1,149.90/1,586.75 = 645.64/x
  3. Step 3: Cross multiply
    1,149.90x = 1,586.75 × 645.64
  4. Step 4: Simplify right side
    1,149.90x = 1,024,465.30
  5. Step 5: Solve for x
    x = 1,024,465.30/1,149.90
  6. Step 6: Final answer
    x = 890.92

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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.