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Finding the Fourth Proportional to 1,214.40, 1,674.84 and 864.48

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Solution

The fourth proportional to 1,214.40, 1,674.84 and 864.48 is: 1,192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.40 : 1,674.84 = 864.48 : x
  2. Step 2: Convert to fraction form
    1,214.40/1,674.84 = 864.48/x
  3. Step 3: Cross multiply
    1,214.40x = 1,674.84 × 864.48
  4. Step 4: Simplify right side
    1,214.40x = 1,447,865.68
  5. Step 5: Solve for x
    x = 1,447,865.68/1,214.40
  6. Step 6: Final answer
    x = 1,192.25

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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.