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Finding the Fourth Proportional to 733.02, 1,011.60 and 418.20

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Solution

The fourth proportional to 733.02, 1,011.60 and 418.20 is: 577.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.02 : 1,011.60 = 418.20 : x
  2. Step 2: Convert to fraction form
    733.02/1,011.60 = 418.20/x
  3. Step 3: Cross multiply
    733.02x = 1,011.60 × 418.20
  4. Step 4: Simplify right side
    733.02x = 423,051.12
  5. Step 5: Solve for x
    x = 423,051.12/733.02
  6. Step 6: Final answer
    x = 577.13

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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.