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Finding the Fourth Proportional to 887.64, 1,224.96 and 514.65

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Solution

The fourth proportional to 887.64, 1,224.96 and 514.65 is: 710.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.64 : 1,224.96 = 514.65 : x
  2. Step 2: Convert to fraction form
    887.64/1,224.96 = 514.65/x
  3. Step 3: Cross multiply
    887.64x = 1,224.96 × 514.65
  4. Step 4: Simplify right side
    887.64x = 630,425.66
  5. Step 5: Solve for x
    x = 630,425.66/887.64
  6. Step 6: Final answer
    x = 710.23

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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.