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Finding the Fourth Proportional to 957.11, 1,320.80 and 537.47

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Solution

The fourth proportional to 957.11, 1,320.80 and 537.47 is: 741.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.11 : 1,320.80 = 537.47 : x
  2. Step 2: Convert to fraction form
    957.11/1,320.80 = 537.47/x
  3. Step 3: Cross multiply
    957.11x = 1,320.80 × 537.47
  4. Step 4: Simplify right side
    957.11x = 709,881.08
  5. Step 5: Solve for x
    x = 709,881.08/957.11
  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.