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Finding the Fourth Proportional to 740.35, 1,021.17 and 478.45

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Solution

The fourth proportional to 740.35, 1,021.17 and 478.45 is: 659.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.35 : 1,021.17 = 478.45 : x
  2. Step 2: Convert to fraction form
    740.35/1,021.17 = 478.45/x
  3. Step 3: Cross multiply
    740.35x = 1,021.17 × 478.45
  4. Step 4: Simplify right side
    740.35x = 488,578.79
  5. Step 5: Solve for x
    x = 488,578.79/740.35
  6. Step 6: Final answer
    x = 659.93

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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.