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Finding the Fourth Proportional to 1,186.79, 1,780.25 and 926.28

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Solution

The fourth proportional to 1,186.79, 1,780.25 and 926.28 is: 1,389.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.79 : 1,780.25 = 926.28 : x
  2. Step 2: Convert to fraction form
    1,186.79/1,780.25 = 926.28/x
  3. Step 3: Cross multiply
    1,186.79x = 1,780.25 × 926.28
  4. Step 4: Simplify right side
    1,186.79x = 1,649,009.97
  5. Step 5: Solve for x
    x = 1,649,009.97/1,186.79
  6. Step 6: Final answer
    x = 1,389.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.