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Finding the Fourth Proportional to 1,127.96, 1,556.56 and 655.84

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Solution

The fourth proportional to 1,127.96, 1,556.56 and 655.84 is: 905.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.96 : 1,556.56 = 655.84 : x
  2. Step 2: Convert to fraction form
    1,127.96/1,556.56 = 655.84/x
  3. Step 3: Cross multiply
    1,127.96x = 1,556.56 × 655.84
  4. Step 4: Simplify right side
    1,127.96x = 1,020,854.31
  5. Step 5: Solve for x
    x = 1,020,854.31/1,127.96
  6. Step 6: Final answer
    x = 905.04

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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.