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Finding the Fourth Proportional to 1,337.68, 2,007.20 and 607.76

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Solution

The fourth proportional to 1,337.68, 2,007.20 and 607.76 is: 911.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.68 : 2,007.20 = 607.76 : x
  2. Step 2: Convert to fraction form
    1,337.68/2,007.20 = 607.76/x
  3. Step 3: Cross multiply
    1,337.68x = 2,007.20 × 607.76
  4. Step 4: Simplify right side
    1,337.68x = 1,219,895.87
  5. Step 5: Solve for x
    x = 1,219,895.87/1,337.68
  6. Step 6: Final answer
    x = 911.95

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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.