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Finding the Fourth Proportional to 1,685.71, 2,325.32 and 1,063.63

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Solution

The fourth proportional to 1,685.71, 2,325.32 and 1,063.63 is: 1,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.71 : 2,325.32 = 1,063.63 : x
  2. Step 2: Convert to fraction form
    1,685.71/2,325.32 = 1,063.63/x
  3. Step 3: Cross multiply
    1,685.71x = 2,325.32 × 1,063.63
  4. Step 4: Simplify right side
    1,685.71x = 2,473,268.49
  5. Step 5: Solve for x
    x = 2,473,268.49/1,685.71
  6. Step 6: Final answer
    x = 1,467.20

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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.