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Finding the Fourth Proportional to 650.02, 894.84 and 587.67

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Solution

The fourth proportional to 650.02, 894.84 and 587.67 is: 809.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.02 : 894.84 = 587.67 : x
  2. Step 2: Convert to fraction form
    650.02/894.84 = 587.67/x
  3. Step 3: Cross multiply
    650.02x = 894.84 × 587.67
  4. Step 4: Simplify right side
    650.02x = 525,870.62
  5. Step 5: Solve for x
    x = 525,870.62/650.02
  6. Step 6: Final answer
    x = 809.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.