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Finding the Fourth Proportional to 733.63, 1,011.86 and 468.16

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Solution

The fourth proportional to 733.63, 1,011.86 and 468.16 is: 645.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.63 : 1,011.86 = 468.16 : x
  2. Step 2: Convert to fraction form
    733.63/1,011.86 = 468.16/x
  3. Step 3: Cross multiply
    733.63x = 1,011.86 × 468.16
  4. Step 4: Simplify right side
    733.63x = 473,712.38
  5. Step 5: Solve for x
    x = 473,712.38/733.63
  6. Step 6: Final answer
    x = 645.71

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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.