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Finding the Fourth Proportional to 970.92, 1,339.86 and 528.83

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Solution

The fourth proportional to 970.92, 1,339.86 and 528.83 is: 729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.92 : 1,339.86 = 528.83 : x
  2. Step 2: Convert to fraction form
    970.92/1,339.86 = 528.83/x
  3. Step 3: Cross multiply
    970.92x = 1,339.86 × 528.83
  4. Step 4: Simplify right side
    970.92x = 708,558.47
  5. Step 5: Solve for x
    x = 708,558.47/970.92
  6. Step 6: Final answer
    x = 729.78

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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.