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Finding the Fourth Proportional to 972.10, 1,454.10 and 826.30

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Solution

The fourth proportional to 972.10, 1,454.10 and 826.30 is: 1,236.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.10 : 1,454.10 = 826.30 : x
  2. Step 2: Convert to fraction form
    972.10/1,454.10 = 826.30/x
  3. Step 3: Cross multiply
    972.10x = 1,454.10 × 826.30
  4. Step 4: Simplify right side
    972.10x = 1,201,522.83
  5. Step 5: Solve for x
    x = 1,201,522.83/972.10
  6. Step 6: Final answer
    x = 1,236.01

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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.