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Finding the Fourth Proportional to 972.52, 1,341.30 and 825.64

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Solution

The fourth proportional to 972.52, 1,341.30 and 825.64 is: 1,138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.52 : 1,341.30 = 825.64 : x
  2. Step 2: Convert to fraction form
    972.52/1,341.30 = 825.64/x
  3. Step 3: Cross multiply
    972.52x = 1,341.30 × 825.64
  4. Step 4: Simplify right side
    972.52x = 1,107,430.93
  5. Step 5: Solve for x
    x = 1,107,430.93/972.52
  6. Step 6: Final answer
    x = 1,138.72

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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.