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Finding the Fourth Proportional to 1,054.44, 1,455.39 and 760.53

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Solution

The fourth proportional to 1,054.44, 1,455.39 and 760.53 is: 1,049.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.44 : 1,455.39 = 760.53 : x
  2. Step 2: Convert to fraction form
    1,054.44/1,455.39 = 760.53/x
  3. Step 3: Cross multiply
    1,054.44x = 1,455.39 × 760.53
  4. Step 4: Simplify right side
    1,054.44x = 1,106,867.76
  5. Step 5: Solve for x
    x = 1,106,867.76/1,054.44
  6. Step 6: Final answer
    x = 1,049.72

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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.