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Finding the Fourth Proportional to 925.12, 1,276.08 and 703.58

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Solution

The fourth proportional to 925.12, 1,276.08 and 703.58 is: 970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.12 : 1,276.08 = 703.58 : x
  2. Step 2: Convert to fraction form
    925.12/1,276.08 = 703.58/x
  3. Step 3: Cross multiply
    925.12x = 1,276.08 × 703.58
  4. Step 4: Simplify right side
    925.12x = 897,824.92
  5. Step 5: Solve for x
    x = 897,824.92/925.12
  6. Step 6: Final answer
    x = 970.50

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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.