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Finding the Fourth Proportional to 957.12, 1,320.78 and 537.42

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Solution

The fourth proportional to 957.12, 1,320.78 and 537.42 is: 741.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.12 : 1,320.78 = 537.42 : x
  2. Step 2: Convert to fraction form
    957.12/1,320.78 = 537.42/x
  3. Step 3: Cross multiply
    957.12x = 1,320.78 × 537.42
  4. Step 4: Simplify right side
    957.12x = 709,813.59
  5. Step 5: Solve for x
    x = 709,813.59/957.12
  6. Step 6: Final answer
    x = 741.61

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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.