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Finding the Fourth Proportional to 953.12, 1,315.18 and 539.12

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Solution

The fourth proportional to 953.12, 1,315.18 and 539.12 is: 743.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.12 : 1,315.18 = 539.12 : x
  2. Step 2: Convert to fraction form
    953.12/1,315.18 = 539.12/x
  3. Step 3: Cross multiply
    953.12x = 1,315.18 × 539.12
  4. Step 4: Simplify right side
    953.12x = 709,039.84
  5. Step 5: Solve for x
    x = 709,039.84/953.12
  6. Step 6: Final answer
    x = 743.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.