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Finding the Fourth Proportional to 675.84, 1,013.07 and 513.18

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Solution

The fourth proportional to 675.84, 1,013.07 and 513.18 is: 769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.84 : 1,013.07 = 513.18 : x
  2. Step 2: Convert to fraction form
    675.84/1,013.07 = 513.18/x
  3. Step 3: Cross multiply
    675.84x = 1,013.07 × 513.18
  4. Step 4: Simplify right side
    675.84x = 519,887.26
  5. Step 5: Solve for x
    x = 519,887.26/675.84
  6. Step 6: Final answer
    x = 769.25

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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.