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Finding the Fourth Proportional to 832.07, 1,148.21 and 500.42

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Solution

The fourth proportional to 832.07, 1,148.21 and 500.42 is: 690.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.07 : 1,148.21 = 500.42 : x
  2. Step 2: Convert to fraction form
    832.07/1,148.21 = 500.42/x
  3. Step 3: Cross multiply
    832.07x = 1,148.21 × 500.42
  4. Step 4: Simplify right side
    832.07x = 574,584.75
  5. Step 5: Solve for x
    x = 574,584.75/832.07
  6. Step 6: Final answer
    x = 690.55

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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.