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Finding the Fourth Proportional to 594.96, 888.25 and 513.76

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Solution

The fourth proportional to 594.96, 888.25 and 513.76 is: 767.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.96 : 888.25 = 513.76 : x
  2. Step 2: Convert to fraction form
    594.96/888.25 = 513.76/x
  3. Step 3: Cross multiply
    594.96x = 888.25 × 513.76
  4. Step 4: Simplify right side
    594.96x = 456,347.32
  5. Step 5: Solve for x
    x = 456,347.32/594.96
  6. Step 6: Final answer
    x = 767.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.