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Finding the Fourth Proportional to 1,127.34, 1,555.07 and 728.82

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Solution

The fourth proportional to 1,127.34, 1,555.07 and 728.82 is: 1,005.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.34 : 1,555.07 = 728.82 : x
  2. Step 2: Convert to fraction form
    1,127.34/1,555.07 = 728.82/x
  3. Step 3: Cross multiply
    1,127.34x = 1,555.07 × 728.82
  4. Step 4: Simplify right side
    1,127.34x = 1,133,362.47
  5. Step 5: Solve for x
    x = 1,133,362.47/1,127.34
  6. Step 6: Final answer
    x = 1,005.34

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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.