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Finding the Fourth Proportional to 586.83, 880.70 and 518.49

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Solution

The fourth proportional to 586.83, 880.70 and 518.49 is: 778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.83 : 880.70 = 518.49 : x
  2. Step 2: Convert to fraction form
    586.83/880.70 = 518.49/x
  3. Step 3: Cross multiply
    586.83x = 880.70 × 518.49
  4. Step 4: Simplify right side
    586.83x = 456,634.14
  5. Step 5: Solve for x
    x = 456,634.14/586.83
  6. Step 6: Final answer
    x = 778.14

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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.