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Finding the Fourth Proportional to 1,005.68, 1,509.47 and 512.46

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Solution

The fourth proportional to 1,005.68, 1,509.47 and 512.46 is: 769.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.68 : 1,509.47 = 512.46 : x
  2. Step 2: Convert to fraction form
    1,005.68/1,509.47 = 512.46/x
  3. Step 3: Cross multiply
    1,005.68x = 1,509.47 × 512.46
  4. Step 4: Simplify right side
    1,005.68x = 773,542.36
  5. Step 5: Solve for x
    x = 773,542.36/1,005.68
  6. Step 6: Final answer
    x = 769.17

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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.