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Finding the Fourth Proportional to 1,055.76, 1,455.96 and 724.56

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Solution

The fourth proportional to 1,055.76, 1,455.96 and 724.56 is: 999.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.76 : 1,455.96 = 724.56 : x
  2. Step 2: Convert to fraction form
    1,055.76/1,455.96 = 724.56/x
  3. Step 3: Cross multiply
    1,055.76x = 1,455.96 × 724.56
  4. Step 4: Simplify right side
    1,055.76x = 1,054,930.38
  5. Step 5: Solve for x
    x = 1,054,930.38/1,055.76
  6. Step 6: Final answer
    x = 999.21

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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.