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Finding the Fourth Proportional to 595.14, 890.37 and 525.88

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Solution

The fourth proportional to 595.14, 890.37 and 525.88 is: 786.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.14 : 890.37 = 525.88 : x
  2. Step 2: Convert to fraction form
    595.14/890.37 = 525.88/x
  3. Step 3: Cross multiply
    595.14x = 890.37 × 525.88
  4. Step 4: Simplify right side
    595.14x = 468,227.78
  5. Step 5: Solve for x
    x = 468,227.78/595.14
  6. Step 6: Final answer
    x = 786.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.