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Finding the Fourth Proportional to 1,609.75, 2,415 and 583.75

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Solution

The fourth proportional to 1,609.75, 2,415 and 583.75 is: 875.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.75 : 2,415 = 583.75 : x
  2. Step 2: Convert to fraction form
    1,609.75/2,415 = 583.75/x
  3. Step 3: Cross multiply
    1,609.75x = 2,415 × 583.75
  4. Step 4: Simplify right side
    1,609.75x = 1,409,756.25
  5. Step 5: Solve for x
    x = 1,409,756.25/1,609.75
  6. Step 6: Final answer
    x = 875.76

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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.