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Finding the Fourth Proportional to 1,022.04, 1,409.64 and 628.92

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Solution

The fourth proportional to 1,022.04, 1,409.64 and 628.92 is: 867.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.04 : 1,409.64 = 628.92 : x
  2. Step 2: Convert to fraction form
    1,022.04/1,409.64 = 628.92/x
  3. Step 3: Cross multiply
    1,022.04x = 1,409.64 × 628.92
  4. Step 4: Simplify right side
    1,022.04x = 886,550.79
  5. Step 5: Solve for x
    x = 886,550.79/1,022.04
  6. Step 6: Final answer
    x = 867.43

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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.