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Finding the Fourth Proportional to 887.68, 1,225.20 and 576.64

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Solution

The fourth proportional to 887.68, 1,225.20 and 576.64 is: 795.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.68 : 1,225.20 = 576.64 : x
  2. Step 2: Convert to fraction form
    887.68/1,225.20 = 576.64/x
  3. Step 3: Cross multiply
    887.68x = 1,225.20 × 576.64
  4. Step 4: Simplify right side
    887.68x = 706,499.33
  5. Step 5: Solve for x
    x = 706,499.33/887.68
  6. Step 6: Final answer
    x = 795.89

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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.