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Finding the Fourth Proportional to 1,586.50, 2,379.78 and 560.50

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Solution

The fourth proportional to 1,586.50, 2,379.78 and 560.50 is: 840.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.50 : 2,379.78 = 560.50 : x
  2. Step 2: Convert to fraction form
    1,586.50/2,379.78 = 560.50/x
  3. Step 3: Cross multiply
    1,586.50x = 2,379.78 × 560.50
  4. Step 4: Simplify right side
    1,586.50x = 1,333,866.69
  5. Step 5: Solve for x
    x = 1,333,866.69/1,586.50
  6. Step 6: Final answer
    x = 840.76

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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.