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Finding the Fourth Proportional to 1,665.12, 2,497.70 and 432.54

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Solution

The fourth proportional to 1,665.12, 2,497.70 and 432.54 is: 648.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.12 : 2,497.70 = 432.54 : x
  2. Step 2: Convert to fraction form
    1,665.12/2,497.70 = 432.54/x
  3. Step 3: Cross multiply
    1,665.12x = 2,497.70 × 432.54
  4. Step 4: Simplify right side
    1,665.12x = 1,080,356.24
  5. Step 5: Solve for x
    x = 1,080,356.24/1,665.12
  6. Step 6: Final answer
    x = 648.81

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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.