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Finding the Fourth Proportional to 1,218.69, 1,681.74 and 694.71

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Solution

The fourth proportional to 1,218.69, 1,681.74 and 694.71 is: 958.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.69 : 1,681.74 = 694.71 : x
  2. Step 2: Convert to fraction form
    1,218.69/1,681.74 = 694.71/x
  3. Step 3: Cross multiply
    1,218.69x = 1,681.74 × 694.71
  4. Step 4: Simplify right side
    1,218.69x = 1,168,321.60
  5. Step 5: Solve for x
    x = 1,168,321.60/1,218.69
  6. Step 6: Final answer
    x = 958.67

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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.