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Finding the Fourth Proportional to 957.39, 1,424.64 and 954.15

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Solution

The fourth proportional to 957.39, 1,424.64 and 954.15 is: 1,419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.39 : 1,424.64 = 954.15 : x
  2. Step 2: Convert to fraction form
    957.39/1,424.64 = 954.15/x
  3. Step 3: Cross multiply
    957.39x = 1,424.64 × 954.15
  4. Step 4: Simplify right side
    957.39x = 1,359,320.26
  5. Step 5: Solve for x
    x = 1,359,320.26/957.39
  6. Step 6: Final answer
    x = 1,419.82

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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.