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Finding the Fourth Proportional to 975.51, 1,463.04 and 282.02

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Solution

The fourth proportional to 975.51, 1,463.04 and 282.02 is: 422.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.51 : 1,463.04 = 282.02 : x
  2. Step 2: Convert to fraction form
    975.51/1,463.04 = 282.02/x
  3. Step 3: Cross multiply
    975.51x = 1,463.04 × 282.02
  4. Step 4: Simplify right side
    975.51x = 412,610.90
  5. Step 5: Solve for x
    x = 412,610.90/975.51
  6. Step 6: Final answer
    x = 422.97

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Double scale
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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.