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Finding the Fourth Proportional to 1,128.32, 1,556.94 and 656.36

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Solution

The fourth proportional to 1,128.32, 1,556.94 and 656.36 is: 905.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.32 : 1,556.94 = 656.36 : x
  2. Step 2: Convert to fraction form
    1,128.32/1,556.94 = 656.36/x
  3. Step 3: Cross multiply
    1,128.32x = 1,556.94 × 656.36
  4. Step 4: Simplify right side
    1,128.32x = 1,021,913.14
  5. Step 5: Solve for x
    x = 1,021,913.14/1,128.32
  6. Step 6: Final answer
    x = 905.69

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1.5x scale

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.