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Finding the Fourth Proportional to 953.02, 1,315.08 and 533.23

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Solution

The fourth proportional to 953.02, 1,315.08 and 533.23 is: 735.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.02 : 1,315.08 = 533.23 : x
  2. Step 2: Convert to fraction form
    953.02/1,315.08 = 533.23/x
  3. Step 3: Cross multiply
    953.02x = 1,315.08 × 533.23
  4. Step 4: Simplify right side
    953.02x = 701,242.72
  5. Step 5: Solve for x
    x = 701,242.72/953.02
  6. Step 6: Final answer
    x = 735.81

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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.