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Finding the Fourth Proportional to 940.56, 1,298.46 and 586.59

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Solution

The fourth proportional to 940.56, 1,298.46 and 586.59 is: 809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.56 : 1,298.46 = 586.59 : x
  2. Step 2: Convert to fraction form
    940.56/1,298.46 = 586.59/x
  3. Step 3: Cross multiply
    940.56x = 1,298.46 × 586.59
  4. Step 4: Simplify right side
    940.56x = 761,663.65
  5. Step 5: Solve for x
    x = 761,663.65/940.56
  6. Step 6: Final answer
    x = 809.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.