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Finding the Fourth Proportional to 887.78, 1,225.07 and 514.76

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Solution

The fourth proportional to 887.78, 1,225.07 and 514.76 is: 710.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.78 : 1,225.07 = 514.76 : x
  2. Step 2: Convert to fraction form
    887.78/1,225.07 = 514.76/x
  3. Step 3: Cross multiply
    887.78x = 1,225.07 × 514.76
  4. Step 4: Simplify right side
    887.78x = 630,617.03
  5. Step 5: Solve for x
    x = 630,617.03/887.78
  6. Step 6: Final answer
    x = 710.33

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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.