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Finding the Fourth Proportional to 651.16, 899.70 and 521.20

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Solution

The fourth proportional to 651.16, 899.70 and 521.20 is: 720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.16 : 899.70 = 521.20 : x
  2. Step 2: Convert to fraction form
    651.16/899.70 = 521.20/x
  3. Step 3: Cross multiply
    651.16x = 899.70 × 521.20
  4. Step 4: Simplify right side
    651.16x = 468,923.64
  5. Step 5: Solve for x
    x = 468,923.64/651.16
  6. Step 6: Final answer
    x = 720.14

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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.