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Finding the Fourth Proportional to 830.33, 1,242.85 and 522.53

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Solution

The fourth proportional to 830.33, 1,242.85 and 522.53 is: 782.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.33 : 1,242.85 = 522.53 : x
  2. Step 2: Convert to fraction form
    830.33/1,242.85 = 522.53/x
  3. Step 3: Cross multiply
    830.33x = 1,242.85 × 522.53
  4. Step 4: Simplify right side
    830.33x = 649,426.41
  5. Step 5: Solve for x
    x = 649,426.41/830.33
  6. Step 6: Final answer
    x = 782.13

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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.