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Finding the Fourth Proportional to 756.84, 1,043.99 and 508.07

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Solution

The fourth proportional to 756.84, 1,043.99 and 508.07 is: 700.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.84 : 1,043.99 = 508.07 : x
  2. Step 2: Convert to fraction form
    756.84/1,043.99 = 508.07/x
  3. Step 3: Cross multiply
    756.84x = 1,043.99 × 508.07
  4. Step 4: Simplify right side
    756.84x = 530,421.97
  5. Step 5: Solve for x
    x = 530,421.97/756.84
  6. Step 6: Final answer
    x = 700.83

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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.