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Finding the Fourth Proportional to 1,308.96, 1,971.19 and 946.28

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Solution

The fourth proportional to 1,308.96, 1,971.19 and 946.28 is: 1,425.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.96 : 1,971.19 = 946.28 : x
  2. Step 2: Convert to fraction form
    1,308.96/1,971.19 = 946.28/x
  3. Step 3: Cross multiply
    1,308.96x = 1,971.19 × 946.28
  4. Step 4: Simplify right side
    1,308.96x = 1,865,298.46
  5. Step 5: Solve for x
    x = 1,865,298.46/1,308.96
  6. Step 6: Final answer
    x = 1,425.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.