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Finding the Fourth Proportional to 1,307.60, 1,962.36 and 785.96

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Solution

The fourth proportional to 1,307.60, 1,962.36 and 785.96 is: 1,179.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.60 : 1,962.36 = 785.96 : x
  2. Step 2: Convert to fraction form
    1,307.60/1,962.36 = 785.96/x
  3. Step 3: Cross multiply
    1,307.60x = 1,962.36 × 785.96
  4. Step 4: Simplify right side
    1,307.60x = 1,542,336.47
  5. Step 5: Solve for x
    x = 1,542,336.47/1,307.60
  6. Step 6: Final answer
    x = 1,179.52

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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.