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Finding the Fourth Proportional to 755.67, 1,043.16 and 507.12

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Solution

The fourth proportional to 755.67, 1,043.16 and 507.12 is: 700.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.67 : 1,043.16 = 507.12 : x
  2. Step 2: Convert to fraction form
    755.67/1,043.16 = 507.12/x
  3. Step 3: Cross multiply
    755.67x = 1,043.16 × 507.12
  4. Step 4: Simplify right side
    755.67x = 529,007.30
  5. Step 5: Solve for x
    x = 529,007.30/755.67
  6. Step 6: Final answer
    x = 700.05

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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.