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Finding the Fourth Proportional to 953.51, 1,315.84 and 533.90

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Solution

The fourth proportional to 953.51, 1,315.84 and 533.90 is: 736.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.51 : 1,315.84 = 533.90 : x
  2. Step 2: Convert to fraction form
    953.51/1,315.84 = 533.90/x
  3. Step 3: Cross multiply
    953.51x = 1,315.84 × 533.90
  4. Step 4: Simplify right side
    953.51x = 702,524.31
  5. Step 5: Solve for x
    x = 702,524.31/953.51
  6. Step 6: Final answer
    x = 736.78

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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.