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Finding the Fourth Proportional to 586.68, 877.38 and 522.09

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Solution

The fourth proportional to 586.68, 877.38 and 522.09 is: 780.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.68 : 877.38 = 522.09 : x
  2. Step 2: Convert to fraction form
    586.68/877.38 = 522.09/x
  3. Step 3: Cross multiply
    586.68x = 877.38 × 522.09
  4. Step 4: Simplify right side
    586.68x = 458,071.32
  5. Step 5: Solve for x
    x = 458,071.32/586.68
  6. Step 6: Final answer
    x = 780.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.