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Finding the Fourth Proportional to 586.98, 811.42 and 552.56

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Solution

The fourth proportional to 586.98, 811.42 and 552.56 is: 763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.98 : 811.42 = 552.56 : x
  2. Step 2: Convert to fraction form
    586.98/811.42 = 552.56/x
  3. Step 3: Cross multiply
    586.98x = 811.42 × 552.56
  4. Step 4: Simplify right side
    586.98x = 448,358.24
  5. Step 5: Solve for x
    x = 448,358.24/586.98
  6. Step 6: Final answer
    x = 763.84

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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.