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Finding the Fourth Proportional to 1,006.79, 1,509.93 and 512.87

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Solution

The fourth proportional to 1,006.79, 1,509.93 and 512.87 is: 769.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.79 : 1,509.93 = 512.87 : x
  2. Step 2: Convert to fraction form
    1,006.79/1,509.93 = 512.87/x
  3. Step 3: Cross multiply
    1,006.79x = 1,509.93 × 512.87
  4. Step 4: Simplify right side
    1,006.79x = 774,390.25
  5. Step 5: Solve for x
    x = 774,390.25/1,006.79
  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.