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Finding the Fourth Proportional to 733.25, 1,011.74 and 497.24

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Solution

The fourth proportional to 733.25, 1,011.74 and 497.24 is: 686.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.25 : 1,011.74 = 497.24 : x
  2. Step 2: Convert to fraction form
    733.25/1,011.74 = 497.24/x
  3. Step 3: Cross multiply
    733.25x = 1,011.74 × 497.24
  4. Step 4: Simplify right side
    733.25x = 503,075.11
  5. Step 5: Solve for x
    x = 503,075.11/733.25
  6. Step 6: Final answer
    x = 686.09

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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.