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Finding the Fourth Proportional to 591.84, 888.57 and 510.84

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Solution

The fourth proportional to 591.84, 888.57 and 510.84 is: 766.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.84 : 888.57 = 510.84 : x
  2. Step 2: Convert to fraction form
    591.84/888.57 = 510.84/x
  3. Step 3: Cross multiply
    591.84x = 888.57 × 510.84
  4. Step 4: Simplify right side
    591.84x = 453,917.10
  5. Step 5: Solve for x
    x = 453,917.10/591.84
  6. Step 6: Final answer
    x = 766.96

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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.