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Finding the Fourth Proportional to 1,307.60, 1,959.62 and 658.78

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Solution

The fourth proportional to 1,307.60, 1,959.62 and 658.78 is: 987.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.60 : 1,959.62 = 658.78 : x
  2. Step 2: Convert to fraction form
    1,307.60/1,959.62 = 658.78/x
  3. Step 3: Cross multiply
    1,307.60x = 1,959.62 × 658.78
  4. Step 4: Simplify right side
    1,307.60x = 1,290,958.46
  5. Step 5: Solve for x
    x = 1,290,958.46/1,307.60
  6. Step 6: Final answer
    x = 987.27

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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.