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Finding the Fourth Proportional to 645.71, 890.07 and 528.17

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Solution

The fourth proportional to 645.71, 890.07 and 528.17 is: 728.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.71 : 890.07 = 528.17 : x
  2. Step 2: Convert to fraction form
    645.71/890.07 = 528.17/x
  3. Step 3: Cross multiply
    645.71x = 890.07 × 528.17
  4. Step 4: Simplify right side
    645.71x = 470,108.27
  5. Step 5: Solve for x
    x = 470,108.27/645.71
  6. Step 6: Final answer
    x = 728.05

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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.