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Finding the Fourth Proportional to 1,596.03, 2,393.69 and 500.25

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Solution

The fourth proportional to 1,596.03, 2,393.69 and 500.25 is: 750.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.03 : 2,393.69 = 500.25 : x
  2. Step 2: Convert to fraction form
    1,596.03/2,393.69 = 500.25/x
  3. Step 3: Cross multiply
    1,596.03x = 2,393.69 × 500.25
  4. Step 4: Simplify right side
    1,596.03x = 1,197,428.95
  5. Step 5: Solve for x
    x = 1,197,428.95/1,596.03
  6. Step 6: Final answer
    x = 750.26

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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.