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Finding the Fourth Proportional to 957.14, 1,320.84 and 537.46

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Solution

The fourth proportional to 957.14, 1,320.84 and 537.46 is: 741.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.14 : 1,320.84 = 537.46 : x
  2. Step 2: Convert to fraction form
    957.14/1,320.84 = 537.46/x
  3. Step 3: Cross multiply
    957.14x = 1,320.84 × 537.46
  4. Step 4: Simplify right side
    957.14x = 709,898.67
  5. Step 5: Solve for x
    x = 709,898.67/957.14
  6. Step 6: Final answer
    x = 741.69

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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.