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Finding the Fourth Proportional to 953.48, 1,315.74 and 533.83

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Solution

The fourth proportional to 953.48, 1,315.74 and 533.83 is: 736.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.48 : 1,315.74 = 533.83 : x
  2. Step 2: Convert to fraction form
    953.48/1,315.74 = 533.83/x
  3. Step 3: Cross multiply
    953.48x = 1,315.74 × 533.83
  4. Step 4: Simplify right side
    953.48x = 702,381.66
  5. Step 5: Solve for x
    x = 702,381.66/953.48
  6. Step 6: Final answer
    x = 736.65

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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.