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Finding the Fourth Proportional to 762.60, 1,051.72 and 549.44

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Solution

The fourth proportional to 762.60, 1,051.72 and 549.44 is: 757.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.60 : 1,051.72 = 549.44 : x
  2. Step 2: Convert to fraction form
    762.60/1,051.72 = 549.44/x
  3. Step 3: Cross multiply
    762.60x = 1,051.72 × 549.44
  4. Step 4: Simplify right side
    762.60x = 577,857.04
  5. Step 5: Solve for x
    x = 577,857.04/762.60
  6. Step 6: Final answer
    x = 757.75

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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.