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Finding the Fourth Proportional to 1,002.51, 1,384.29 and 851.64

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Solution

The fourth proportional to 1,002.51, 1,384.29 and 851.64 is: 1,175.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.51 : 1,384.29 = 851.64 : x
  2. Step 2: Convert to fraction form
    1,002.51/1,384.29 = 851.64/x
  3. Step 3: Cross multiply
    1,002.51x = 1,384.29 × 851.64
  4. Step 4: Simplify right side
    1,002.51x = 1,178,916.74
  5. Step 5: Solve for x
    x = 1,178,916.74/1,002.51
  6. Step 6: Final answer
    x = 1,175.97

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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.