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Finding the Fourth Proportional to 1,325.49, 1,986.74 and 631.59

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Solution

The fourth proportional to 1,325.49, 1,986.74 and 631.59 is: 946.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.49 : 1,986.74 = 631.59 : x
  2. Step 2: Convert to fraction form
    1,325.49/1,986.74 = 631.59/x
  3. Step 3: Cross multiply
    1,325.49x = 1,986.74 × 631.59
  4. Step 4: Simplify right side
    1,325.49x = 1,254,805.12
  5. Step 5: Solve for x
    x = 1,254,805.12/1,325.49
  6. Step 6: Final answer
    x = 946.67

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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.