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Finding the Fourth Proportional to 1,004.84, 1,507 and 517.48

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Solution

The fourth proportional to 1,004.84, 1,507 and 517.48 is: 776.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.84 : 1,507 = 517.48 : x
  2. Step 2: Convert to fraction form
    1,004.84/1,507 = 517.48/x
  3. Step 3: Cross multiply
    1,004.84x = 1,507 × 517.48
  4. Step 4: Simplify right side
    1,004.84x = 779,842.36
  5. Step 5: Solve for x
    x = 779,842.36/1,004.84
  6. Step 6: Final answer
    x = 776.09

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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.