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Finding the Fourth Proportional to 591.68, 890.96 and 520.40

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Solution

The fourth proportional to 591.68, 890.96 and 520.40 is: 783.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.68 : 890.96 = 520.40 : x
  2. Step 2: Convert to fraction form
    591.68/890.96 = 520.40/x
  3. Step 3: Cross multiply
    591.68x = 890.96 × 520.40
  4. Step 4: Simplify right side
    591.68x = 463,655.58
  5. Step 5: Solve for x
    x = 463,655.58/591.68
  6. Step 6: Final answer
    x = 783.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.