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Finding the Fourth Proportional to 957.13, 1,320.74 and 537.46

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Solution

The fourth proportional to 957.13, 1,320.74 and 537.46 is: 741.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.13 : 1,320.74 = 537.46 : x
  2. Step 2: Convert to fraction form
    957.13/1,320.74 = 537.46/x
  3. Step 3: Cross multiply
    957.13x = 1,320.74 × 537.46
  4. Step 4: Simplify right side
    957.13x = 709,835.63
  5. Step 5: Solve for x
    x = 709,835.63/957.13
  6. Step 6: Final answer
    x = 741.63

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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.