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Finding the Fourth Proportional to 957.56, 1,426.53 and 922.72

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Solution

The fourth proportional to 957.56, 1,426.53 and 922.72 is: 1,374.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.56 : 1,426.53 = 922.72 : x
  2. Step 2: Convert to fraction form
    957.56/1,426.53 = 922.72/x
  3. Step 3: Cross multiply
    957.56x = 1,426.53 × 922.72
  4. Step 4: Simplify right side
    957.56x = 1,316,287.76
  5. Step 5: Solve for x
    x = 1,316,287.76/957.56
  6. Step 6: Final answer
    x = 1,374.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.