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Finding the Fourth Proportional to 886.76, 1,223.43 and 592.22

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Solution

The fourth proportional to 886.76, 1,223.43 and 592.22 is: 817.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.76 : 1,223.43 = 592.22 : x
  2. Step 2: Convert to fraction form
    886.76/1,223.43 = 592.22/x
  3. Step 3: Cross multiply
    886.76x = 1,223.43 × 592.22
  4. Step 4: Simplify right side
    886.76x = 724,539.71
  5. Step 5: Solve for x
    x = 724,539.71/886.76
  6. Step 6: Final answer
    x = 817.06

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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.