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Finding the Fourth Proportional to 1,535.75, 2,303.99 and 509.75

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Solution

The fourth proportional to 1,535.75, 2,303.99 and 509.75 is: 764.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.75 : 2,303.99 = 509.75 : x
  2. Step 2: Convert to fraction form
    1,535.75/2,303.99 = 509.75/x
  3. Step 3: Cross multiply
    1,535.75x = 2,303.99 × 509.75
  4. Step 4: Simplify right side
    1,535.75x = 1,174,456.35
  5. Step 5: Solve for x
    x = 1,174,456.35/1,535.75
  6. Step 6: Final answer
    x = 764.74

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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.