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Finding the Fourth Proportional to 1,057.85, 1,586.78 and 288.35

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Solution

The fourth proportional to 1,057.85, 1,586.78 and 288.35 is: 432.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.85 : 1,586.78 = 288.35 : x
  2. Step 2: Convert to fraction form
    1,057.85/1,586.78 = 288.35/x
  3. Step 3: Cross multiply
    1,057.85x = 1,586.78 × 288.35
  4. Step 4: Simplify right side
    1,057.85x = 457,546.57
  5. Step 5: Solve for x
    x = 457,546.57/1,057.85
  6. Step 6: Final answer
    x = 432.53

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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.