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Finding the Fourth Proportional to 1,186.76, 1,637.74 and 662.80

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Solution

The fourth proportional to 1,186.76, 1,637.74 and 662.80 is: 914.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.76 : 1,637.74 = 662.80 : x
  2. Step 2: Convert to fraction form
    1,186.76/1,637.74 = 662.80/x
  3. Step 3: Cross multiply
    1,186.76x = 1,637.74 × 662.80
  4. Step 4: Simplify right side
    1,186.76x = 1,085,494.07
  5. Step 5: Solve for x
    x = 1,085,494.07/1,186.76
  6. Step 6: Final answer
    x = 914.67

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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.