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Finding the Fourth Proportional to 586.84, 878.12 and 519.40

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Solution

The fourth proportional to 586.84, 878.12 and 519.40 is: 777.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.84 : 878.12 = 519.40 : x
  2. Step 2: Convert to fraction form
    586.84/878.12 = 519.40/x
  3. Step 3: Cross multiply
    586.84x = 878.12 × 519.40
  4. Step 4: Simplify right side
    586.84x = 456,095.53
  5. Step 5: Solve for x
    x = 456,095.53/586.84
  6. Step 6: Final answer
    x = 777.21

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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.