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Finding the Fourth Proportional to 633.68, 947.99 and 535.07

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Solution

The fourth proportional to 633.68, 947.99 and 535.07 is: 800.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.68 : 947.99 = 535.07 : x
  2. Step 2: Convert to fraction form
    633.68/947.99 = 535.07/x
  3. Step 3: Cross multiply
    633.68x = 947.99 × 535.07
  4. Step 4: Simplify right side
    633.68x = 507,233.59
  5. Step 5: Solve for x
    x = 507,233.59/633.68
  6. Step 6: Final answer
    x = 800.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.