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Finding the Fourth Proportional to 615.48, 848.94 and 522.84

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Solution

The fourth proportional to 615.48, 848.94 and 522.84 is: 721.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.48 : 848.94 = 522.84 : x
  2. Step 2: Convert to fraction form
    615.48/848.94 = 522.84/x
  3. Step 3: Cross multiply
    615.48x = 848.94 × 522.84
  4. Step 4: Simplify right side
    615.48x = 443,859.79
  5. Step 5: Solve for x
    x = 443,859.79/615.48
  6. Step 6: Final answer
    x = 721.16

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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.