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Finding the Fourth Proportional to 733.01, 1,011.42 and 497.15

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Solution

The fourth proportional to 733.01, 1,011.42 and 497.15 is: 685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.01 : 1,011.42 = 497.15 : x
  2. Step 2: Convert to fraction form
    733.01/1,011.42 = 497.15/x
  3. Step 3: Cross multiply
    733.01x = 1,011.42 × 497.15
  4. Step 4: Simplify right side
    733.01x = 502,827.45
  5. Step 5: Solve for x
    x = 502,827.45/733.01
  6. Step 6: Final answer
    x = 685.98

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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.