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Finding the Fourth Proportional to 1,289.68, 1,933.36 and 631.20

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Solution

The fourth proportional to 1,289.68, 1,933.36 and 631.20 is: 946.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.68 : 1,933.36 = 631.20 : x
  2. Step 2: Convert to fraction form
    1,289.68/1,933.36 = 631.20/x
  3. Step 3: Cross multiply
    1,289.68x = 1,933.36 × 631.20
  4. Step 4: Simplify right side
    1,289.68x = 1,220,336.83
  5. Step 5: Solve for x
    x = 1,220,336.83/1,289.68
  6. Step 6: Final answer
    x = 946.23

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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.