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Finding the Fourth Proportional to 886.92, 1,225.66 and 737.40

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Solution

The fourth proportional to 886.92, 1,225.66 and 737.40 is: 1,019.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.92 : 1,225.66 = 737.40 : x
  2. Step 2: Convert to fraction form
    886.92/1,225.66 = 737.40/x
  3. Step 3: Cross multiply
    886.92x = 1,225.66 × 737.40
  4. Step 4: Simplify right side
    886.92x = 903,803.75
  5. Step 5: Solve for x
    x = 903,803.75/886.92
  6. Step 6: Final answer
    x = 1,019.03

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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.