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Finding the Fourth Proportional to 971.16, 1,457.09 and 484.10

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Solution

The fourth proportional to 971.16, 1,457.09 and 484.10 is: 726.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.16 : 1,457.09 = 484.10 : x
  2. Step 2: Convert to fraction form
    971.16/1,457.09 = 484.10/x
  3. Step 3: Cross multiply
    971.16x = 1,457.09 × 484.10
  4. Step 4: Simplify right side
    971.16x = 705,378.94
  5. Step 5: Solve for x
    x = 705,378.94/971.16
  6. Step 6: Final answer
    x = 726.32

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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.