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Finding the Fourth Proportional to 1,324.32, 1,986.68 and 350.48

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Solution

The fourth proportional to 1,324.32, 1,986.68 and 350.48 is: 525.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.32 : 1,986.68 = 350.48 : x
  2. Step 2: Convert to fraction form
    1,324.32/1,986.68 = 350.48/x
  3. Step 3: Cross multiply
    1,324.32x = 1,986.68 × 350.48
  4. Step 4: Simplify right side
    1,324.32x = 696,291.61
  5. Step 5: Solve for x
    x = 696,291.61/1,324.32
  6. Step 6: Final answer
    x = 525.77

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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.