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Finding the Fourth Proportional to 971.83, 1,457.91 and 386.84

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Solution

The fourth proportional to 971.83, 1,457.91 and 386.84 is: 580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.83 : 1,457.91 = 386.84 : x
  2. Step 2: Convert to fraction form
    971.83/1,457.91 = 386.84/x
  3. Step 3: Cross multiply
    971.83x = 1,457.91 × 386.84
  4. Step 4: Simplify right side
    971.83x = 563,968.68
  5. Step 5: Solve for x
    x = 563,968.68/971.83
  6. Step 6: Final answer
    x = 580.32

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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.