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Finding the Fourth Proportional to 913.03, 1,260.15 and 535.14

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Solution

The fourth proportional to 913.03, 1,260.15 and 535.14 is: 738.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.03 : 1,260.15 = 535.14 : x
  2. Step 2: Convert to fraction form
    913.03/1,260.15 = 535.14/x
  3. Step 3: Cross multiply
    913.03x = 1,260.15 × 535.14
  4. Step 4: Simplify right side
    913.03x = 674,356.67
  5. Step 5: Solve for x
    x = 674,356.67/913.03
  6. Step 6: Final answer
    x = 738.59

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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.