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Finding the Fourth Proportional to 1,005.87, 1,507.51 and 511.97

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Solution

The fourth proportional to 1,005.87, 1,507.51 and 511.97 is: 767.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.87 : 1,507.51 = 511.97 : x
  2. Step 2: Convert to fraction form
    1,005.87/1,507.51 = 511.97/x
  3. Step 3: Cross multiply
    1,005.87x = 1,507.51 × 511.97
  4. Step 4: Simplify right side
    1,005.87x = 771,801.48
  5. Step 5: Solve for x
    x = 771,801.48/1,005.87
  6. Step 6: Final answer
    x = 767.30

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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.