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Finding the Fourth Proportional to 887.84, 1,330.65 and 563.30

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Solution

The fourth proportional to 887.84, 1,330.65 and 563.30 is: 844.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.84 : 1,330.65 = 563.30 : x
  2. Step 2: Convert to fraction form
    887.84/1,330.65 = 563.30/x
  3. Step 3: Cross multiply
    887.84x = 1,330.65 × 563.30
  4. Step 4: Simplify right side
    887.84x = 749,548.49
  5. Step 5: Solve for x
    x = 749,548.49/887.84
  6. Step 6: Final answer
    x = 844.24

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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.