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Finding the Fourth Proportional to 1,586.40, 2,378.23 and 765.25

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Solution

The fourth proportional to 1,586.40, 2,378.23 and 765.25 is: 1,147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.40 : 2,378.23 = 765.25 : x
  2. Step 2: Convert to fraction form
    1,586.40/2,378.23 = 765.25/x
  3. Step 3: Cross multiply
    1,586.40x = 2,378.23 × 765.25
  4. Step 4: Simplify right side
    1,586.40x = 1,819,932.65
  5. Step 5: Solve for x
    x = 1,819,932.65/1,586.40
  6. Step 6: Final answer
    x = 1,147.21

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1.5x scale

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.