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Finding the Fourth Proportional to 1,009.42, 1,393.95 and 954.88

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Solution

The fourth proportional to 1,009.42, 1,393.95 and 954.88 is: 1,318.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.42 : 1,393.95 = 954.88 : x
  2. Step 2: Convert to fraction form
    1,009.42/1,393.95 = 954.88/x
  3. Step 3: Cross multiply
    1,009.42x = 1,393.95 × 954.88
  4. Step 4: Simplify right side
    1,009.42x = 1,331,054.98
  5. Step 5: Solve for x
    x = 1,331,054.98/1,009.42
  6. Step 6: Final answer
    x = 1,318.63

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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.