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Finding the Fourth Proportional to 1,504.65, 2,255.17 and 1,065.23

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Solution

The fourth proportional to 1,504.65, 2,255.17 and 1,065.23 is: 1,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.65 : 2,255.17 = 1,065.23 : x
  2. Step 2: Convert to fraction form
    1,504.65/2,255.17 = 1,065.23/x
  3. Step 3: Cross multiply
    1,504.65x = 2,255.17 × 1,065.23
  4. Step 4: Simplify right side
    1,504.65x = 2,402,274.74
  5. Step 5: Solve for x
    x = 2,402,274.74/1,504.65
  6. Step 6: Final answer
    x = 1,596.57

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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.