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Finding the Fourth Proportional to 971.02, 1,457.13 and 509.16

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Solution

The fourth proportional to 971.02, 1,457.13 and 509.16 is: 764.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.02 : 1,457.13 = 509.16 : x
  2. Step 2: Convert to fraction form
    971.02/1,457.13 = 509.16/x
  3. Step 3: Cross multiply
    971.02x = 1,457.13 × 509.16
  4. Step 4: Simplify right side
    971.02x = 741,912.31
  5. Step 5: Solve for x
    x = 741,912.31/971.02
  6. Step 6: Final answer
    x = 764.05

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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.