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Finding the Fourth Proportional to 749.71, 1,124.05 and 359.25

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Solution

The fourth proportional to 749.71, 1,124.05 and 359.25 is: 538.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.71 : 1,124.05 = 359.25 : x
  2. Step 2: Convert to fraction form
    749.71/1,124.05 = 359.25/x
  3. Step 3: Cross multiply
    749.71x = 1,124.05 × 359.25
  4. Step 4: Simplify right side
    749.71x = 403,814.96
  5. Step 5: Solve for x
    x = 403,814.96/749.71
  6. Step 6: Final answer
    x = 538.63

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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.