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Finding the Fourth Proportional to 997.40, 1,498.53 and 564.86

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Solution

The fourth proportional to 997.40, 1,498.53 and 564.86 is: 848.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.40 : 1,498.53 = 564.86 : x
  2. Step 2: Convert to fraction form
    997.40/1,498.53 = 564.86/x
  3. Step 3: Cross multiply
    997.40x = 1,498.53 × 564.86
  4. Step 4: Simplify right side
    997.40x = 846,459.66
  5. Step 5: Solve for x
    x = 846,459.66/997.40
  6. Step 6: Final answer
    x = 848.67

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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.