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Finding the Fourth Proportional to 887.83, 1,225.19 and 514.80

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Solution

The fourth proportional to 887.83, 1,225.19 and 514.80 is: 710.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.83 : 1,225.19 = 514.80 : x
  2. Step 2: Convert to fraction form
    887.83/1,225.19 = 514.80/x
  3. Step 3: Cross multiply
    887.83x = 1,225.19 × 514.80
  4. Step 4: Simplify right side
    887.83x = 630,721.69
  5. Step 5: Solve for x
    x = 630,721.69/887.83
  6. Step 6: Final answer
    x = 710.41

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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.