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Finding the Fourth Proportional to 1,574.22, 2,359.48 and 648.62

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Solution

The fourth proportional to 1,574.22, 2,359.48 and 648.62 is: 972.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.22 : 2,359.48 = 648.62 : x
  2. Step 2: Convert to fraction form
    1,574.22/2,359.48 = 648.62/x
  3. Step 3: Cross multiply
    1,574.22x = 2,359.48 × 648.62
  4. Step 4: Simplify right side
    1,574.22x = 1,530,405.92
  5. Step 5: Solve for x
    x = 1,530,405.92/1,574.22
  6. Step 6: Final answer
    x = 972.17

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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.