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Finding the Fourth Proportional to 1,282.01, 1,923.02 and 460.26

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Solution

The fourth proportional to 1,282.01, 1,923.02 and 460.26 is: 690.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.01 : 1,923.02 = 460.26 : x
  2. Step 2: Convert to fraction form
    1,282.01/1,923.02 = 460.26/x
  3. Step 3: Cross multiply
    1,282.01x = 1,923.02 × 460.26
  4. Step 4: Simplify right side
    1,282.01x = 885,090.34
  5. Step 5: Solve for x
    x = 885,090.34/1,282.01
  6. Step 6: Final answer
    x = 690.40

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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.