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Finding the Fourth Proportional to 933.09, 1,398.48 and 522.52

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Solution

The fourth proportional to 933.09, 1,398.48 and 522.52 is: 783.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.09 : 1,398.48 = 522.52 : x
  2. Step 2: Convert to fraction form
    933.09/1,398.48 = 522.52/x
  3. Step 3: Cross multiply
    933.09x = 1,398.48 × 522.52
  4. Step 4: Simplify right side
    933.09x = 730,726.78
  5. Step 5: Solve for x
    x = 730,726.78/933.09
  6. Step 6: Final answer
    x = 783.13

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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.