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Finding the Fourth Proportional to 755.15, 1,130.29 and 593.15

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Solution

The fourth proportional to 755.15, 1,130.29 and 593.15 is: 887.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.15 : 1,130.29 = 593.15 : x
  2. Step 2: Convert to fraction form
    755.15/1,130.29 = 593.15/x
  3. Step 3: Cross multiply
    755.15x = 1,130.29 × 593.15
  4. Step 4: Simplify right side
    755.15x = 670,424.38
  5. Step 5: Solve for x
    x = 670,424.38/755.15
  6. Step 6: Final answer
    x = 887.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.