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Finding the Fourth Proportional to 971.94, 1,457.22 and 560.51

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Solution

The fourth proportional to 971.94, 1,457.22 and 560.51 is: 840.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.94 : 1,457.22 = 560.51 : x
  2. Step 2: Convert to fraction form
    971.94/1,457.22 = 560.51/x
  3. Step 3: Cross multiply
    971.94x = 1,457.22 × 560.51
  4. Step 4: Simplify right side
    971.94x = 816,786.38
  5. Step 5: Solve for x
    x = 816,786.38/971.94
  6. Step 6: Final answer
    x = 840.37

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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.