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Finding the Fourth Proportional to 1,134.09, 1,564.45 and 713.65

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Solution

The fourth proportional to 1,134.09, 1,564.45 and 713.65 is: 984.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.09 : 1,564.45 = 713.65 : x
  2. Step 2: Convert to fraction form
    1,134.09/1,564.45 = 713.65/x
  3. Step 3: Cross multiply
    1,134.09x = 1,564.45 × 713.65
  4. Step 4: Simplify right side
    1,134.09x = 1,116,469.74
  5. Step 5: Solve for x
    x = 1,116,469.74/1,134.09
  6. Step 6: Final answer
    x = 984.46

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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.