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Finding the Fourth Proportional to 869.48, 1,199.50 and 538.05

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Solution

The fourth proportional to 869.48, 1,199.50 and 538.05 is: 742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.48 : 1,199.50 = 538.05 : x
  2. Step 2: Convert to fraction form
    869.48/1,199.50 = 538.05/x
  3. Step 3: Cross multiply
    869.48x = 1,199.50 × 538.05
  4. Step 4: Simplify right side
    869.48x = 645,389.63
  5. Step 5: Solve for x
    x = 645,389.63/869.48
  6. Step 6: Final answer
    x = 742.28

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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.