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Finding the Fourth Proportional to 953.78, 1,307.78 and 860.15

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Solution

The fourth proportional to 953.78, 1,307.78 and 860.15 is: 1,179.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.78 : 1,307.78 = 860.15 : x
  2. Step 2: Convert to fraction form
    953.78/1,307.78 = 860.15/x
  3. Step 3: Cross multiply
    953.78x = 1,307.78 × 860.15
  4. Step 4: Simplify right side
    953.78x = 1,124,889.16
  5. Step 5: Solve for x
    x = 1,124,889.16/953.78
  6. Step 6: Final answer
    x = 1,179.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.