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Finding the Fourth Proportional to 1,054.47, 1,573.13 and 1,016.63

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Solution

The fourth proportional to 1,054.47, 1,573.13 and 1,016.63 is: 1,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.47 : 1,573.13 = 1,016.63 : x
  2. Step 2: Convert to fraction form
    1,054.47/1,573.13 = 1,016.63/x
  3. Step 3: Cross multiply
    1,054.47x = 1,573.13 × 1,016.63
  4. Step 4: Simplify right side
    1,054.47x = 1,599,297.63
  5. Step 5: Solve for x
    x = 1,599,297.63/1,054.47
  6. Step 6: Final answer
    x = 1,516.68

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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.