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Finding the Fourth Proportional to 1,586.59, 2,379.80 and 432.25

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Solution

The fourth proportional to 1,586.59, 2,379.80 and 432.25 is: 648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.59 : 2,379.80 = 432.25 : x
  2. Step 2: Convert to fraction form
    1,586.59/2,379.80 = 432.25/x
  3. Step 3: Cross multiply
    1,586.59x = 2,379.80 × 432.25
  4. Step 4: Simplify right side
    1,586.59x = 1,028,666.39
  5. Step 5: Solve for x
    x = 1,028,666.39/1,586.59
  6. Step 6: Final answer
    x = 648.35

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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.