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Finding the Fourth Proportional to 1,535.82, 2,303.67 and 495.87

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Solution

The fourth proportional to 1,535.82, 2,303.67 and 495.87 is: 743.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.82 : 2,303.67 = 495.87 : x
  2. Step 2: Convert to fraction form
    1,535.82/2,303.67 = 495.87/x
  3. Step 3: Cross multiply
    1,535.82x = 2,303.67 × 495.87
  4. Step 4: Simplify right side
    1,535.82x = 1,142,320.84
  5. Step 5: Solve for x
    x = 1,142,320.84/1,535.82
  6. Step 6: Final answer
    x = 743.79

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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.