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Finding the Fourth Proportional to 738.49, 1,017.03 and 517.06

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Solution

The fourth proportional to 738.49, 1,017.03 and 517.06 is: 712.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.49 : 1,017.03 = 517.06 : x
  2. Step 2: Convert to fraction form
    738.49/1,017.03 = 517.06/x
  3. Step 3: Cross multiply
    738.49x = 1,017.03 × 517.06
  4. Step 4: Simplify right side
    738.49x = 525,864.43
  5. Step 5: Solve for x
    x = 525,864.43/738.49
  6. Step 6: Final answer
    x = 712.08

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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.