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Finding the Fourth Proportional to 887.06, 1,224.47 and 762.22

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Solution

The fourth proportional to 887.06, 1,224.47 and 762.22 is: 1,052.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.06 : 1,224.47 = 762.22 : x
  2. Step 2: Convert to fraction form
    887.06/1,224.47 = 762.22/x
  3. Step 3: Cross multiply
    887.06x = 1,224.47 × 762.22
  4. Step 4: Simplify right side
    887.06x = 933,315.52
  5. Step 5: Solve for x
    x = 933,315.52/887.06
  6. Step 6: Final answer
    x = 1,052.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.