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Finding the Fourth Proportional to 1,050.20, 1,448.70 and 607.80

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Solution

The fourth proportional to 1,050.20, 1,448.70 and 607.80 is: 838.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.20 : 1,448.70 = 607.80 : x
  2. Step 2: Convert to fraction form
    1,050.20/1,448.70 = 607.80/x
  3. Step 3: Cross multiply
    1,050.20x = 1,448.70 × 607.80
  4. Step 4: Simplify right side
    1,050.20x = 880,519.86
  5. Step 5: Solve for x
    x = 880,519.86/1,050.20
  6. Step 6: Final answer
    x = 838.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.