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Finding the Fourth Proportional to 1,127.70, 1,556.19 and 630.33

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Solution

The fourth proportional to 1,127.70, 1,556.19 and 630.33 is: 869.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.70 : 1,556.19 = 630.33 : x
  2. Step 2: Convert to fraction form
    1,127.70/1,556.19 = 630.33/x
  3. Step 3: Cross multiply
    1,127.70x = 1,556.19 × 630.33
  4. Step 4: Simplify right side
    1,127.70x = 980,913.24
  5. Step 5: Solve for x
    x = 980,913.24/1,127.70
  6. Step 6: Final answer
    x = 869.84

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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.