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Finding the Fourth Proportional to 1,752.32, 2,628.84 and 656.70

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Solution

The fourth proportional to 1,752.32, 2,628.84 and 656.70 is: 985.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.32 : 2,628.84 = 656.70 : x
  2. Step 2: Convert to fraction form
    1,752.32/2,628.84 = 656.70/x
  3. Step 3: Cross multiply
    1,752.32x = 2,628.84 × 656.70
  4. Step 4: Simplify right side
    1,752.32x = 1,726,359.23
  5. Step 5: Solve for x
    x = 1,726,359.23/1,752.32
  6. Step 6: Final answer
    x = 985.18

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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.