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Finding the Fourth Proportional to 1,307.76, 1,962.36 and 730.96

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Solution

The fourth proportional to 1,307.76, 1,962.36 and 730.96 is: 1,096.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.76 : 1,962.36 = 730.96 : x
  2. Step 2: Convert to fraction form
    1,307.76/1,962.36 = 730.96/x
  3. Step 3: Cross multiply
    1,307.76x = 1,962.36 × 730.96
  4. Step 4: Simplify right side
    1,307.76x = 1,434,406.67
  5. Step 5: Solve for x
    x = 1,434,406.67/1,307.76
  6. Step 6: Final answer
    x = 1,096.84

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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.