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Finding the Fourth Proportional to 595.12, 890.82 and 507.64

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Solution

The fourth proportional to 595.12, 890.82 and 507.64 is: 759.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.12 : 890.82 = 507.64 : x
  2. Step 2: Convert to fraction form
    595.12/890.82 = 507.64/x
  3. Step 3: Cross multiply
    595.12x = 890.82 × 507.64
  4. Step 4: Simplify right side
    595.12x = 452,215.86
  5. Step 5: Solve for x
    x = 452,215.86/595.12
  6. Step 6: Final answer
    x = 759.87

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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.