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Finding the Fourth Proportional to 832.95, 1,149.46 and 459.93

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Solution

The fourth proportional to 832.95, 1,149.46 and 459.93 is: 634.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.95 : 1,149.46 = 459.93 : x
  2. Step 2: Convert to fraction form
    832.95/1,149.46 = 459.93/x
  3. Step 3: Cross multiply
    832.95x = 1,149.46 × 459.93
  4. Step 4: Simplify right side
    832.95x = 528,667.83
  5. Step 5: Solve for x
    x = 528,667.83/832.95
  6. Step 6: Final answer
    x = 634.69

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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.