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Finding the Fourth Proportional to 1,596.49, 2,394.73 and 501.77

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Solution

The fourth proportional to 1,596.49, 2,394.73 and 501.77 is: 752.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.49 : 2,394.73 = 501.77 : x
  2. Step 2: Convert to fraction form
    1,596.49/2,394.73 = 501.77/x
  3. Step 3: Cross multiply
    1,596.49x = 2,394.73 × 501.77
  4. Step 4: Simplify right side
    1,596.49x = 1,201,603.67
  5. Step 5: Solve for x
    x = 1,201,603.67/1,596.49
  6. Step 6: Final answer
    x = 752.65

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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.